Solve the IVP d^2y/dt^2 - 6dy/dt + 34y = 0, y(0) = 0, y'(0) = 5 The Laplace transform of the solutions is L{y} = By completing the square in the denominator we see that this is the Laplace transform of shifted by the rule (Your first answer blank for this question should be a function of t). Therefore the solution is y =

Answers

Answer 1

The Laplace transform of the differential equation is s^2Y(s) - 6sY(s) + 34Y(s) = 0. The solution to the initial value problem is y(t) = 5e^(3t)sin(5t). Solving for Y(s), we get Y(s) = 5/(s^2 - 6s + 34).


Completing the square in the denominator, we get Y(s) = 5/((s - 3)^2 + 25). This is the Laplace transform of the function f(t) = 5e^(3t)sin(5t).
Using the inverse Laplace transform, we get y(t) = 5e^(3t)sin(5t).

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Related Questions

Kobe wants to organize his toys. He wants to put his į inch cubes in a box with width 2 inches, length 3 inches, and height 2 inches? How many inch cubes can he fit in the box?​

Answers

Volume of box : 2 x 3 x 2 = 12 cubic inches.

Volume of cube : 1^3 = 1 cubic inch.

Number of cubes = volume of box / volume of cube:

12/1 = 12 cubes.

Answer:

12 cubes

Step-by-step explanation:

hope this helped

Find the measures of the numbered angles for each parallelogram.​

Answers

Answer:

Step-by-step explanation:

∠1=60

  ∠2  =60

why do countries, make alliances, in wartime? please someone help me!

Answers

Answer:

Most of the time, it is because they need the military aid or the resources that a certain country needs. That's kinda what the UN is all about is aiding each other in times of war

Step-by-step explanation:

Answer:

Because when make allies, they have someone to have their back.

Step-by-step explanation:

For example, If you're in a fight, you're gonna need backup. In war, you need as many people as you can to take down the villain (your opponent). Which means people, ammo, guns, bombs, support, and inside spies. All of this helps and will be easier to defeat the person per-say.

Richard and Teo have a combined age of 49. Richard is 13 years older than twice Teo's age. How old are Richard and Teo?

Answers

Answer:

13×2=26

Maybe i can help u a little

Answer:

teo is 18 and Richard is 31

Step-by-step explanation:

hope it helps you

please mark me as brainlist

2.
Write a rule for the linear function in the table.



x f(x)

–1 –5

2 –2

5 1

8 4


A. f(x) = x – 4


B. f(x) = 3x


C. f(x) = x + 4


D. f(x) = x – 5

Answers

Answer:

C. f(x) = x + 4

Step-by-step explanation:

PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely

Answers

Answer:likely tell me if im wrong

Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.

Hence, the likelihood that best describes the probability of this event is Likely.

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Mark has $500 in his savings account. If he saves $25 each month, how many months will it take him to have $1000.

Answers

Answer: 20, I believe

Step-by-step explanation: You already have 500 which is half of 1000. 500 divided by 25 equals 20.

algebra 1 Solve number 10 !!!

Answers

Answer:

0.06x + 0.15y = 69.84

x = (69.84 - 0.15y) / 0.06

y = (69.84 - 0.06x) / 0.15

x + y = 852

((69.84 - 0.15y) / 0.06) + y = 852

y = ?

(I'm not trying to give you the answer but guide you how to do it)

If a circle has an area of 49 squared, what is its exact radius?

Answers

r≈3.95
Area 49
Ok
Did
You
Under
Stand
It
???

Answer:

27.7

Step-by-step explanation:

Area = πr²

49²/π = r²

r = 49/√π = 49/1.77 = 27.7

on a standard six-sided die, what is the probability of rolling an even number?

Answers

Answer:

5

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

The even numbers on a die are 2, 4 and 6 compared to the odd numbers 1, 3 and 5. This is 3/6 of the numbers which is 1/2 when simplified. 1/2 is equal to 50%

A bank account with an initial deposit of $4,000 and an interest rate of 4% increases by 4% each year. The balance (B) as a function of time in years (t) can be described by an exponential function: B(t) = 4,000(1.04)t

What parameter would change if the interest rate were changed to 7%?

Parameter
(select)
would change if the interest rate were changed to 7%.

Answers

r=R/100=4/100=0.04 per year. Solving equation A=P(1+rt ). A=4000(1+0.04)=4160. A=$4160

2 It is 7:40 A.M. Delilah's bus arrives
at 7:53 A.M. It takes her 10 minutes
to get to the bus stop. Will she
catch her bus?
yourloos nosos 3 sovios
to
no 18119
What time will she get to the bus
stop?
9
SRB

Answers

Answer:

no she will be 3 min late

Step-by-step explanation:

Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes

Answers

Answer:

Verdadero

Step-by-step explanation:

Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...

2 / 6 = 0.333

6 / 18 = 0.333

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option C it is sure

,

A

trust me looooooooooll

1) -5n – 4n ?????????????????????????????????????????

Answers

Answer: =−9n

Step-by-step explanation: hope this help

-5n-4n

=-5n-4n

=-5n+-4n

=-n+-n+-n+-n+-n+-n+-n+-n+-n

=-9n

Square root x = 5.1?

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

√x=5.1

Solve Square Root.

√x=5.1

x=5.12(Square both sides)

x=26.01

Check answers. (Plug them in to make sure they work.)

x=26.01(Works in original equation)

Answer:

x=26.01

Bella went to Yard Depot multiple times. Each time she was there, Bella bought a gardening hat and y pairs of gardening gloves. The expression shown below represents the total amount of money, in dollars, Bella spent at Yard Depot. a(by + c) C. Explain what a, b, and c each mean in terms of the situation.

Answers

Answer:

a is how many times bella went 2 yard depot

b is how many gardening gloves she bought

c is how many gardening hats she bought

Hey please help me!
Whats 12y + 2x = 24 ???

Answers

Answer:

y=2 x=0

Step-by-step explanation:

12x+2x=24

12 times 2+ 2 times 0

=24

Witch of the following equations have z=4
9z+22=26
7z-1=27
46-8z=14
5z+40=62

Answers

Answer:

b

Step-by-step explanation:

Is the following g relation a function?
-yes
-No

Answers

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.

En tres partidos de besisbol de fin de Semana, hubo 125,429 espectadores .La Semana siguiente hubi 86,353 especradores cuantos espectadores en total presenciaron los seis partidos en total

Answers

Answer:

211,782

Step-by-step explanation:

Esta pregunta es muy fácil porque Los espectadores en total que presenciaron los seis partidos en total es la suma de ambos.

125,429 en uno lado y 86,353 en uno lado. Y eso es igual

125,429 + 86,353 = 211,782

Los espectadores en total que presenciaron los seis partidos en total es 211,782

Solve for x . x/3 +x/4

Answers

The answer is

[tex] \frac{7x}{12} [/tex]

Write the equation of the line in slope-intercept form given the graph below.

Answers

Answer:

y=-2/3x-1

Step-by-step explanation:

Answer:

y=-2/3x-1

Step-by-step explanation:

First use the digits in the box to create the largest possible number. Then use the same digits to create the smallest possible number. Then find the difference between the two numbers.

Answers

Answer:

What are the digits in the box?

Step-by-step explanation:

Find the total surface area

Answers

Answer:

46

Step-by-step explanation: 5+7+5+7+5+10+7= 46

Please mark as brainliest!!!!!

428,750 SA (7x7x5x5x7x5x10)

PLEASE HELP!!! (i will give brainliest)

Answers

Step-by-step explanation:

[tex] {9}^{2} = {6}^{2} + {x}^{2} \\ 81 = 36 + {x}^{2} \\ {x}^{2} = 45 \\ x = 6.71 \: ft[/tex]

6.71 is answer ok plz MARK me as BRAINLIST

10x - 4y for x = 14 and y = 5 PLEASE!

Answers

Answer:

120

Step-by-step explanation:

10(14)-4(5)

=140-20

=120

Answer:

120.

Step-by-step explanation:

10(14)-4(5)

140-20

120.

Is 1,48 rational or irrational


Answers

Answer:This number is classified as rational

Step-by-step explanation: Have a great day!

Will mark BRAINLIEST!!
What is - 1 1/15 + (- 3/5) =

Answers

the answer is -20/15 or -1 1/3

When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed

Answers

Answer:

sedimentary rock is formed

Step-by-step explanation:

Sedimentary rock is formed
Other Questions
consider the reaction: 2no2(g) n2o4(g) for which (at 25c) h = -56.8 kj and s = -175 j/k. mark the statements which are correct. when calling a c function, the static link is passed as an implicit first argument. (True or False) The reflection in a clear window of a storeis a(n) You go to the gas station and see that the price of gasoline is unchanged. Can you use this observation to determine that the economy is not experiencing inflation? The price of gas does not tell you enough about inflation. Measurements of core inflation, which is the main gauge of inflation for consumers, exclude energy prices. does not tell you enough about inflation. Inflation is an increase in the average price level, and although gas prices may not have risen, prices of most goods and services may have. tells you enough about inflation. Since gas takes up a huge portion of consumers' budgets, gas prices are weighted heavily in the CPI. Thus, changes in gas prices invariably correspond to changes in the overall price level. tells you enough about inflation. Gas prices are "leading" pricesthat is, they move to new levels in advance of other prices. another name for relevant cost is unavoidable cost. group startstrue or false Let X measure the amount of consumption of coffee per day in ounces and Y measure the total number of steps walked during the day. Suppose we know that the correlation coefficient px,y = 0.945. With is information only, which of the following statements are true: a) There is positive association between coffee consumption and physical activity. b) Coffee consumption causes you to be physically active. Increase in coffee consumption is associated with increase in physical activity. c) There is likely a strong linear relationship between coffee consumption and physical activity. d) Decrease in coffee consumption causes decreased physical activity. If a natural resource is extracted and not sold, which of the following accounts are debited and credited?a. Debit cost of goods sold and credit inventoryb. Debit depletion expense and credit accumulated depletionc. Debit inventory and credit natural resourced. Debit accumulated depletion and credit natural resources what is the volume of a 1.95 moles sample of gas if the pressure is 844 mmHg and the temperature is 61.6 degrees celsius Please help ill give brainliest!How many grams of nitric acid would you yield from 41. 3 g of aluminum nitrate? Suppose that binary heaps are represented using explicit links. Give a simple algorithm to find the tree node that is at implicit position i.instructions: provide Java-like pseudocode. The implicit position of a node refers to the index it would have if the heap was stored in the array format reviewed in class (first element at index 1). Suppose a table T(A,B,C) has the following tuples: (1,1,3),(1,2,3),(2,1,4),(2,3,5),(2,4,1),(3,2,4), and (3,3,6). Consider the following view definition: Create View V as Select A+B as D,C From T Chlorine gas, Cl2, and fluorine gas, F2, react at 2500 K to produce an equilibrium with CIF. The equilibrium constant for this reaction at 2500K, Kc = 25. A vessel is charged with 0.364 M chlorine, 0.364 M of fluorine, and 2.397 M CIF and allowed to reach equilibrium. i) write a balanced equation for this reaction. ii) Write an expression for the reaction quotient (Qc). iii) What are the equilibrium concentrations for this reaction? Show your work and use the methods I showed you in class. Given the following confidence interval for a population mean, compute the margin of error, E. 11.13 design a quick-return mechanism with a ratio of 1:1.5 for the rocker in problem 2.1. verify that the resulting linkage is grashof. Bond A makes semi-annual interest payments of $30. Bond B makes an annual payment of $50. All else equal, which one has the higher coupon rate?ABA=B Suppose A = , where A has dimension, LT, B has dimension L2T-1, and C has dimensions LT2. Determine the dimension of n and m values. Sam pulls Frodo (who has a mass of 40 kg) across the ground with a force of 10 N. If the friction between Frodo and the ground is 7 N, what is Frodo's acceleration?0. 075 m/s20. 425 m/s2120 m/s2680 m/s2 View the following political cartoon on the New Deal. Analyze the cartoon. Explain who is the patient, the doctor and the caretaker and what all the bottles represent. Then sum up the cartoon in your own words Instructions The following TWO questions are based on this scenario. Working Together Adanya has been assigned to work on a project with a returning college student in her 60s. Immediately, Adanya worries that her partner will not be as capable as a student her own age. But, later, Adanya reappraises the situation and realizes that she doesn't know her partner at all yet. Adanya's automatic categorization and affiliated prejudice toward her partner is associated with activity in which area of the brain?a.Hippocampus b.Amygdala c.Cerebellum d.Prefrontal cortex Give an example input list that requires merge-sort and heap-sort to take O(nlogn) time to sort, but insertion-sort runs in O(N) time. What if you reverse this list?