Question: Use the Laplace transform to solve the following initial value problem:y''+6y'=0,y(0)=-1,y'(0)=7First, using Y for the Laplace transform ofy(t),i.e.,Y=L{y(t)},find the equation you get by taking the

Use the Laplace transform to solve the following initial value problem:y''+6y'=0,y(0)=-1,y'(0)=7First, using Y for the Laplace transform ofy(t),i.e.,Y=L{y(t)},find the equation you get by taking the Laplace transform of the differential equation=0Now solve for Y(s)=and write the above answer in its partial fraction decomposition, Y(s)=As+a+Bs+b where Y(s)=,+y(t)=aY(s)=,+Now by inverting the transform, find y(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!

Please need an answer asap Use the Laplace transform to solve the following initial value problem: if' + Ay = cos(5t) #/(0) =0, 1/(0) -0 First, using Y for the Laplace transform of y(t), i.e., Y =...

Please need an answer asap Use the Laplace transform to solve the following initial value problem: y' - 27/ + 26y=0 y(0) = 0, y/(0) =5 a. Using Y for the Laplace transform of y(t), i.e., Y = [ty(t)...

Use the Laplace transform to solve the following initial value problem: y" + 7y' = 0 y(0) = -1, y'(0) = 8 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}. find the equation you...

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

Answer all the questions accordingly Problem 1 Suppose a sequence of random variables is generated as follows. Let X] ~ uniform(0, 1), and X2 X] ~ uniform(X1, 1). In general, let Xxtil(X1, ..., Xx) ~...

Please need an answer asap Use the Laplace transform to solve the following initial value problem: y' + 4y = cos(5t) y(0) = 0, y(0) =0 First, using Y for the Laplace transform of y(t), i.e., Y =...

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 =...

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 =...

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 =...

(1 point) Use the LaPlace transform to solve the following initial value problem: b. Now solve for Y(s) = y" + 6y' = 0. a. Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the...

Yadier Corporation has income from continuing operations of $290,000 for the year ended December 31, 2010. It also has the following items (before considering income taxes). 1. An extraordinary loss...

Determine the moment of inertia around the reference point. Show all calculations horizontal neutral axis of the section. Use A as in neat table format and indicate clearly your division of area....

In the data of Experiment 8A, a deletion was observed in the short arm of chromosome 9. Let's suppose a researcher made a mistake and added twice as much of the normal DNA compared to the cancer DNA....

Kashmir Enterprises, an Indian carpet manufacturer, begins the calendar year with the following Indian rupee (INR) balances: Cash 920,000 Accounts payable 420,000 Inventory 640,000 Owners equity...