Compute the inverse Laplace transform y(t) of Y(s). 1. Y(s)= e 3s 2. Y(0)- s3 2. Y(s)=+- +e s +4 s² 25 s +9 e 3. Y(s)=- (s+4) 4. Y(s)=e 38 S-2

Q: 1. - Solve the below equation using Laplace transform: y" -y=t, y (0) = 1. y' (o)=1 fin 96) 1/s 21/²…

A:

Q: Which of the following is the Laplace transform of the solution to the initial value problem x" –…

A:

Q: Let y (t) be the solution of the initial value problem y" - 6y' +8y = 8 (t – 1), y (0) = 3, y' (0) =…

A: Given initial value problem is  y"-6y'+8y=δt-1and given initial conditions are y0=3, y'0=1solve it…

Q: - What function f(t) has Laplace transform: 2s +3 3s +6 s²-4s +13 + 2 s + 3s

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

A:

Q: 0. O hlt)= if t< 4 Find laplace transform for + cos(st) if +Z¢ 'a) e-4s e 40 s cos(20) + 5 sen(20)…

A:

Q: 3s +5 Let X(s) = be the Laplace Transform of a signal x(t). Then, x(0+) is %3D s + 10s + 21

A:

Q: Find the Laplace transform of e- (s+1)? s-1 (s-1)2 s+1

A:

Q: i need help on all these parts asap

A:

Q: How can i solve this using Laplace Transform method? given that y ( 0 ) = 0 , y ′ ( 0 ) = 0 , a n d…

A:

Q: Use the Laplace transform to solve the initial-value problem: [y" +3 y'+2y3Se, y(0) =2, y' (0) = 3]…

A: y''+3y'+2y=5e-3x take laplace on both sides Ly''+3Ly'+2Ly=5Le-3x s2ys-sy0-y'0+3sys-y0+2ys=5·1s+3…

Q: 5. Compute L-1{F (s)} where 3s 5 F (s) (s2 +4)2 6. Use the Laplace Transform to solve the IVP Find y…

A: 1) To determine  f(t) such that its Laplace transform is the given F(s), and 2)  solve the initial…

Q: The Laplace transform L{e^-t^2} exists (because it is exponential order), but without finding it…

A:

Q: 7s – 3 s2 – 4 - Find the inverse Laplace transform of F(s) 17 f(t) : 11 + 4 -21 11 +- 4 17 17 f(t) =…

A:

Q: If y " +3y + 9y = 6e3t, y (0) = 0, y/ (0) = 5 what is %3D %3D the Laplace transform of y? 6. s2+3s+9…

A:

Q: * Find the Laplace transform -5 -21 sint f(t) = te' -21 s + 2 2s + 4 (s² + 4s + 5)- (s² + 4s + 5)? 0…

A:

Q: What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b.…

A:

Q: Discuss comprehensively the process of determining the Inverse Laplace transform of: s4 – 7s3 + 13s2…

A:

Q: 1. Use the Laplace transform to solve the following given initial-value problems. a) y'+y=8e", y(0)…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: If y " +3y + 9y = 6e-8t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? 6. s2 +3s+9…

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: 1) Find the inverse Laplace transform of the following: s+1 а) L-1 [s²-7s+6) ans: A = B=- 7 | 5' 5…

A:

Q: With y the solution of the IVP 3y" –- 5y' + 2y = 3 with y(0) = 5,y'(0) = - 2, the Laplace transform…

A:

Q: 1 Find the inverse Laplace transform of - (s+1)(s²+1)

A:

Q: What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary s2-s+3…

A: We will find out the required solution y(t) using inverse Laplace transform method.

Q: What is the inverse Laplace Transform of a function y(t) if after solving the Ordinary s2-s+3…

A: The inverse Laplace transform of a function can be found by splitting it into partial fractions and…

Q: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)

A:

Q: (-28 — 4)е s2 + 6s + 25 1. Calculate the inverse Laplace transform L-! 4e-2s (s +1)³.

A:

Q: Find the inverse Laplace transform e-2s s2 - 4 1 z42sinh2(t – 2) sinh2(t – 2) 1 z42cosh2(1 – 2) 1…

A:

Q: Which of the following is the Laplace transform of the solution to the initial value problem x" + x'…

A: We will find out the required Laplace transform.

Q: Which of the following is the Laplace transform of the solution to the initial value problem x" + a'…

A:

Q: s+26 s2+3s-10

A: s+26s2+3s-10=s+261s2+3s-10=s+261s+5s-2=s+267s+5-s-2s+5s-2=s+2671s-2-1s+5=17ss-2+2671s-2-17ss+5-2671s…

Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question.…

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: In the given Initial Value Problem, y" – 27y = f (t); y (0) = y (0) = y" (0) = 0 %3D %3D %3D with f…

A:

Q: Use the Laplace transform to solve the initial-value problem: [y"+3y'+2y=5e, (0) =2, y'(0) = 3] a) O…

A: Take Laplace transform of the equation and solve it:…

Q: 4. The inverse Laplace transform L-1{s/(s²+8s +20)}

A:

Q: d the Laplace Transform of the periodic function f(x) 5 for 0<r < 7 T0 for 7<r< 14 s(1–e-14*) 5(e-78…

A:

Q: Let L{y(t)} = Y (s). Which of the following can be obtained when Laplace transform applied to the…

A:

Q: a) Solve the initial-value problem d^2y/dt^2+9y=0,y(0)=1,y′(0)=3

A:

Q: 3. Find the inverse Laplace transform of the ff. а. (s+1)(s+2)2 10 b. s(s+2)(s+3)2

A:

Q: Find the inverse Laplace transform following: 1. 2s+8 s²+4 4s+32 2. s²-16 3. 2S-1 s²-6s+18

A:

Q: Find the Laplace transform of 6e5 cos2t - e7: 6(s-5) A (s- 5)2+4 s-7 (s- 5) (B) (s - 5)2+4 s+ 7 6s…

A: We have to find the Laplace transform of f(t) = 6e5tcos2t - e7t

Q: 10. Find the Laplace transform of t³ + 2t - 4. a. b. C. d. 3 ||0|0| + + + + ~~~~~~~~ - - - - 5…

A: Given  f(t) = t3 + 2t - 4

Q: 1. Determine the inverse Laplace transform of the function below. 10 G(s) = (s + 1)(s2 + 4s + 13) 2.…

A:

Q: 7. Find the inverse Laplace transform of the following function S-3 4s²–3s+5 (a) (s2-6s+10) (b)…

A: Since you have posted a question with multiple sub parts, we will solve first three subparts for…

Q: { 5s L~1 (s²+1)², L-1{. (s²+4s+8. s+4

A:

Q: Suppose solving an equation by Laplace transform results in 9 s Y(s) = s2 + 49' Evaluate y(0).

A:

Q: 3. Find the inverse Laplace transform y(t)=L¹[Y(s)] where 1/6 1/3 Y(s)=e-5s + S s+1 S/2 + 5/3 s² +…

A:

Q: Take the Laplace Transform of both sides of the IVP y'' + y = 2δ(t-1) w/ y(0) = 1, y'(0) = 1 and…

A: Step:-1 Note:- Some Laplace Transform 1. Lδt-a = e-as   for a&gt;0 2. Lyt=ys  and  L-1ys=yt 3.…