Take the Laplace Transform of both sides of the IVP y'' + y = 2δ(t-1) w/ y(0) = 1, y'(0) = 1 and isolate Y(s). Simply isolate Y(s) but, simplify the answer the best you can.

Q: (3) Solve the initial value problem using Laplace transform. y + 4y sin 3t, y(0) = 5.

A:

Q: Use Laplace transform technique to solve y +2y +2y=e¯, y(0) = - 3, y'(0) = 2

A: Given: y''+2y'+2y=e-t and y(0)=-3 ,y'(0)=2 Apply Laplace transform on both sides…

Q: What is the initial value of f(t) if its Laplace transform is

A:

Q: Solve the problem: y "- 4y=excosx ,   y (0) = 1, y '(0) = 2 a) without using Laplace transform; b)…

A: Consider the given information. (a) Use the undetermined coefficient to solve the equation. Write…

Q: What is the Laplace transform of y’’ – 6y’ + 15y = 2 sin (3t), with y(0) = -1 and y’(0) = 4

A:

Q: 7. Use the Laplace Transform to solve the IVP y +2y - y -2y= sin(3t) ,y(0) = 0, y'(0) = 0, y'(0) =1

A: We have to use Laplace Transform to solve IVP.

Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Given that 1) f(t) = e-3tsin (2t) cos (3t) cosh (t) 2) f(t) = 1+sin t + (8t)15 + t2cos 3t We have to…

Q: dx 4x = 2e2t + e4 dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: For given function f(t) = 2sin(3t) – 3 cosh(2f)+e6t +5 Laplace transform of L(f(t)) and L(1¶ O), dt…

A:

Q: Solve by Laplace transform method x' = 2x – 2y у'3 х — у — cos t x(0) =,y(0) = 3 4

A: Solution: The system is x'=2x-2y y'=x-y-cost x0=35,  y0=45

Q: Solve for the Laplace transform of f(t) = 5 using long method. %3D

A:

Q: Use Laplace transform technique to solve , y"-y'-6y= 0, Given y(0) = 1 and y'(0) = -1

A:

Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Determine the Laplace transform of: L{et sinh 3t}

A:

Q: 4. Solve for Laplace transform of f(t) = t^5 using long method

A: This question is based on Laplace transform formula.

Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Find the laplace transform of 1. f(t)= cos(5t)cos(2t) - sin(5t)sin(2t) 2. f(t)=…

A:

Q: Solve the Laplace transform of: 4 sinh 3t + 3 cosh 3t

A: Introduction: The Laplace transformation of sinh(at) and cosh(at) is given by,…

Q: Determine the Laplace Transform of est cos 5t .

A:

Q: Use Laplace transform technique to solve, y"+2y'+2y = e given y(0) = -2 and y'(0) = -1

A: According to our guides, we are allowed to answer the first question only. Kindly re post the second…

Q: Given that x(0)=0, apply the laplace transform to find a general solution of tx''-(4t+1)x'+(4t+2)x=0

A:

Q: 04 Obtain the particular solution for: 2y" +2y= 2 sinx y(0)=0, y'(0)=1 (a) By using Laplace…

A: The solution is given below in the next step:

Q: 2. t5/2 sinh 4t

A:

Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

A:

Q: 1. Show that the function 2t et cos (et“) is not of exponential order, however its Laplace transform

A:

Q: 2 What is the Laplace transform of 2cos t?

A:

Q: Determine the Laplace Transform of e 12 cos v 7t + sinV5 - 3

A:

Q: Find the Laplace transform of sinh3 4t

A:

Q: Find the Laplace transform of f (t) = sinh3 3t

A:

Q: Solve the laplace transform of f(t) = sin (10t). Hint: You may convert the given to whichever form…

A:

Q: y Ct) = 5€ - 2t Cos 6t

A: Use the following 1.L{cos at}=ss2+a22.If L{f(t)}=F(s)Then L{eatf(t)}=F(s-a)

Q: Use Laplace transform technique to solve y" + 2y +2y= e¬, Y(0) = - 4, y'(0) = - 2

A: Laplace transform

Q: -2 20(x+2y?

A:

Q: Solve the initial value problem using Laplace Transform Method y'' - 4y = sin 2t  ; y(0) = 3,…

A: To solve: The initial value problem using Laplace Transform Method y'' - 4y = sin 2t  ; y(0) = 3,…

Q: By using Laplace transform to solve y + y = sinht with y (0) = -1, what would the particular…

A:

Q: ) Solve the following initial value problem by using Laplace transform. y" + 4y = 4t + 12, y(0) = 4,…

A:

Q: Solve the problem: y" - 6y' +8y=sin t, y(0)=y'(0) = 0 a) without using Laplace transform: b)…

A:

Q: Starting from the definition of the Laplace transform, calculate: a) L{(cosh(2t)}

A:

Q: 5. Use Laplace transform technique to solve v"-y'-6y = 0, Given v(0) = 1 and y'(0) = -1

A: Solution: The objective is to find solution to the given differential equation using Laplace…

Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: 9. Solve the IVP using Laplace transform: x' – x = 2cos5t, with x (0) = = 0.

A: Given equn isx'-x=2 cos 5t with x0=0taking both the side laplace transformation we get…

Q: 4)Use Laplace transform to solve y +2y +2y=e", y(0) = 2, y'(0) = -1

A: Given y"+2y'+2y=e-t , y0=2 , y'0=-1 Ly"=s2Ly-sy0-y'0 Ly'=s Ly-y0 Le-t=1s+1 Now…

Q: 5. * + 9x = cos 2t

A:

Q: Solve differential egualions by using laplace transform fCW)-5)'(x)+6f(x)=0 where for-o and flo)=1.

A:

Q: 4. Use Laplace transform technique to solve , y"+2y'+2y = e given y(0) = -2 and y'(0) =-1 %3D

A:

Q: Use Laplace transform technique to solve y+2y +2y=et, y(0) = - 3, y'(0) = - 3

A:

Q: 4. Use Laplace transform technique to solve, y"+2y'+y=4e given y(0) = 2 and y'(0) = -1

A: We have to find general solution of given differential equation using Laplace transform Method.