9. Which of the equations given below is the Laplace transform of the following differential equation with the given condition? dy -y = y (0) = 2 Y = + 26-1) Y = 2(s-3) 2(s-1) m 1 = 0 Y = 2s 4 Y = 7 26-1)

Q: Which of the following differential equation(s) is/are NOT applicable for the method of Laplace…

A: I and III are not applicable for the method of Laplace transform. The detailed solution is as…

Q: Solve the differential equation using Laplace Transform. (b) y" – y" + 4y' – 4y = 10e-t, y(0) = 5,…

A: We will find out the required solution.

Q: Solve the following IVP by the Laplace transform. y(t) = = y" - 6y + 5y = 174 cos(2t), y(0) = 19.2,…

A: Given IVP y''-6y'+5y=174cos(2t), y(0)=19.2, y'(0)=37.2

Q: Qu 1 a). Determine the LaPlace transform of the differential equation y"- y = e2 ; y(0) =0 and y"(0)…

A:

Q: Q.4/ Find the inverse Laplace transform of given F(s) s2 +1 F(s) s(s + 1)2

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Solve the differential equation using Laplace Transform. (a) y" – 2y' + 5y = 8e'sin2t, y(0) = 1,…

A: a. The given differential equation is                                     y''-2y'+5y=8etsin2t   ,…

Q: What is the Laplace transform of the given differential equation? O 2 (3-2) s+1 O 8² (8-2) 07²-25…

A:

Q: Consider the initial value problem +36-cos(64), (0) - 6, (0) 3. a Take the Laplace transform of both…

A:

Q: Given y(t)=t²e+t. The above equation can be transform by using 1. First shift theorem 2. Second…

A: Given  y(t)= t2e4t

Q: 6. Evaluate * y" + 9y = 0; y(0) = 2 , y'(0) = 9 2cos3t + 3sin3t 2cos3t + 9sin3t C. A. 3(cos3t +…

A:

Q: Q2// using Laplace transform find the solution of the following differential equations -2yi + y2 +…

A:

Q: Part II. Solve the following IVP using Laplace Transform: 1. 4y" + y' + 5y = 0 y(0) = 2 y' (0) = 1…

A:

Q: Activity 1: The motion equation of damped mass-spring system as shown in Fig. 1 below is given as…

A: As per our guideline we can solve only first three subparts.Please repost for another question.…

Q: Q3 [CLO 3] Solve the IVP by using Laplace Transform y" -2y'+37y=e +cos 3t, y(0) =0,y'(0) =1.

A:

Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").

A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)

Q: (b) Use the Laplace transform method to find the solution of d²y 6+9y= 4e", yo = 2, y1 = 0. dt dy…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Question 9 Give the Laplace transform of the solution of a) Y = b) Y = c) Y = d) Y = e) Y f) None of…

A: 9.

Q: A dynamic system is described with the following differential equation: *+4x+20x = f(t), x(0)=1,…

A:

Q: (N) (R) (V) = (A - y)² (B −y) = (y-A) (B-y) = y(y² + B) Answer: Answer: (P) = (A+y)(B+ y)² da (S) dx…

A: 1st we have to decide about equilibrium solution and then depends on inclination of slope line…

Q: Which of the following differential equation(s) is/are NOT applicable for the method of Laplace…

A:

Q: Consider the initial value problem for function y given by, y" - 2y + 17y=56(t - 2), (a) Find the…

A: The given time to find the solution for the given initial value problem with given initial…

Q: 2. Use the Laplace transform to solve the given differential equation. ´y"-5y¹+6y=0, y(0) = 2, y…

A: Here we have to solve the given differential equation by using laplace transformation.

Q: Transform the differential equation 2y2y + 5y = cos(at) y(0) = 1 y = 2 into an algebraic equation by…

A: Given that the differential equation is               2y''-2y'+5y=cos(at); y(0)=1, y'(0)=2.

Q: dy 3y=e"; y (0) = 1 dt %3D -

A:

Q: Which of the following differential equation(s) is/are NOT applicable for the method of Laplace I:…

A:

Q: 2. y" – 2y' = –4 y(0) = 0, y'(0) = 4

A:

Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

A:

Q: 9.) The Inverse Laplace tra (A) In(s² - 2-3 (C) //e+ + 3/e³1

A: Inverse Laplace transform of the function