Question: Use the Laplace transform to solve the given initial-value problem.y''+ y =2sin(2t),y(0)=11,y'(0)=0y(t)=4sin(t)22sin(2t)+11cos(t)

Use the Laplace transform to solve the given initial-value problem.y''+ y =2sin(2t),y(0)=11,y'(0)=0y(t)=4sin(t)22sin(2t)+11cos(t)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) = [13e -37 + ebt] X Need Help? Read It Master It [-/1 Points] DETAILS ZILLDIFFEQ9 7.2.040. Use the...

Q:

5. [-/0.37 Points] DETAILS ZILLDIFFEQMODAP11 7.6.009. 0/15 Submissions Used Use the Laplace transform to solve the given system of differential equations. d2x + day = + 2 dt2 dt2 d2 x dt2 dt2 = 3t...

Q:

Please need an answer asap Use the Laplace transform to solve the following initial value problem: 1/' - 47 + 4y = 0 3/(0) = -2, 1/(0) = 3 a. Using Y for the Laplace transform of y(t), i.e., Y =...

Q:

1. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.2.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.2.021. Use appropriate algebra and Theorem 7.2.1 to find the...

Q:

Please need an answer asap Use the Laplace transform to solve the following initial value problem: 3 - 4y' + 20y = 0 y(0) = 0, y (0) = 4 a. Using Y for the Laplace transform of y(t), i.e., Y =...

Q:

The Clohessey-Wiltshire equations model what happens when two orbiting bodies are close to each other. Typically, one spacecraft is fixed as the primary craft, which is called the target, and the...

Q:

Please show all of your work. The question asks to solve the Initial Value Problem using the LaPlace y"(* +r)y+rry=0, y(0) = yoy(0) = y;'. (3) transform Assuming above that r2 > > 0 and then come...

Q:

Please need an answer asap Use the Laplace transform to solve the following initial value problem: y" - 4y + 4y =0 y(0) = -2, y'(0) = 3 a. Using Y for the Laplace transform of y(t), i.e., Y =...

Q:

Please need an answer asap Find the Laplace transform of t2 sin(5t). L{ta sin(5t)} = Find the Laplace transform of test sin(2t). Lite3t sin(2t) } Use the Laplace transform to solve the following...

Q:

Please need an answer asap Consider the initial value problem y" + 16y = 64t, y(0) = 4, y'(0) = 9. a. Take the Laplace transform of both sides of the given differential equation to create the...

Q:

In a study designed to investigate whether certain detonators used with explosives In cool mining mean the requirements that at least 90% will ignite the explosive when charged, it is found that 174...

Q:

1. During the beginning of the 21st century, the growth in computer sales declined for the first time in almost two decades. As a result, PC makers dramatically reduced their orders of computer chips...

Q:

Which one of these accounts is a long - term debt? Accrued wages Accried taxes 1 - year notes payable S . year bonds

Q:

Use the Wave accounting software to set up MY Brain accounts. MY Brain is a retail shop that sells electrical appliances. The transactions for the month of July are as follows: Transactions July 1...