4s – 9 - F(S) %3D 4s² – 16s + 9

Q: y"- y'- 2y = 0; y(0) = -2,

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Q: Using Laplace transform, solve 2 + y = 3t with y(0) = 3 and determine y(5) in 4 decimal places

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Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 3s + 2 4s2 + 12s + 9

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

Q: 3. Use the Laplace transform method to solve the initial value problem r = 6x1 + 11r2, r = -4x1 –…

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Q: (s+2)3

A: We have to Find an inverse Laplace transform of given function using a partial fraction.

Q: у" (() + у(t) 3 0 y(0) = 0 y'(0) = 1

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Q: s-8 3. (s-3)(s²+2s+17)

A: Given: L-1s-8s-3s2+2s+17

Q: Solve the Laplace transform of; L-1 3s + 10 s² + 4s + 20/

A: Using the table of Laplace transformation, it can be written that:…

Q: Perform partial fraction decomposition and then an inverse laplace transform on the function Y(s)=…

A: The answer is given as follows:

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

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

Q: Find the Laplace transform of t2 sin(3t) 18s-54 (s2+9)² 18s2-54 (s249) 30s2-54 (s2+9) 1252-54 (s2+9)

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Q: xy3dx+(y+1)e-xdy=0

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

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: [3+12s] а. С-1 s2

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Compute the inverse Laplace transform of 5s – 12 - F(s) = s3 – 7s2 + 12s

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Q: Find the inverse Laplace transform of -6s e F(s) = s2 + 2s – 3 - - (Use for u.(t) .)

A: The given expression is Fs=e-6ss2+2s-3. We have to find the inverse Laplace transform of function…

Q: Use the laplace transform method to solve the given system

A: The system is  d2xdt2+dydt-y=02dxdt-x+dzdt-z=0dxdt+3x+dydt-4y+3z=0 Apply Laplace transform:…

Q: Solve the shifted data IVP by the Laplace transform method showing your work in details.…

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Q: 2. Use the Laplace Transform to solve the following system x'= x-5y, y'=-5x+y, x(0)=1, y(0)=1.

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Q: 2. Use Laplace transform to solve with y(0) = 1 and y'(0) = 0. y" + 2y' + 2y = 8(t = π)

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Q: 1 (ii) (s+ 6)?

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Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

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Q: 5. (5 points) Compute the inverse Laplace transform of 5s – 12 F(s) = s3 – 7s2 + 12s using partial…

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Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: 3s – 137 - F(S) %3D s² + 2s + 401

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Q: Using Partial fractions, obtain the Inverse Laplace transform of 7s³37s² +93s-31 st 10s³ +62s2 -…

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Q: Q4 Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0)=1 (a) By using Laplace transform…

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Q: Solve the following initial value problem by using the Laplace Transform method. y'' − y' = ex,…

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: Use Laplace Transform to solve the initial value problem. Show your complete solution. 3t y" - 3y +…

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Q: 2s + 42 2s° + 7s – 15

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Q: Laplace under initial conditions x '+ y' + x= 0 and x '+ 2y' = 1 equation system x(0) = y (0) = 0…

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Q: 2. Use Laplace transform to solve with y (0) y" + 4y = 8(t)- 8(t - 2π) 0 and y' (0) = 0.

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Q: Problem 2 4s+3 (s – 1)°(s²+ 4)

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Q: Solve the Laplace transform of the following: -3t. ii) y" + 4y" = -6y' + y – tet; y(0) = 0 and y'(0)…

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Q: (s +2)

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

Q: Use Laplace transform technique to solve y + y"+2y +2y e, y(0) = - 3, y (0) = 2 %3D

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Q: Use the method of partial fractions to find the inverse Laplace transform of (s – 1)²(1+ s²)

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Q: Use a Laplace transform to solve y" + 16y = 6 (1 –).y(0) = 1, y'(0) = 0. %3D 4

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Q: 2. Use Laplace transform to solve with y(0) = y" + 4y = = 8(t)- 8(t - 2π) 0 and y' (0) = 0.

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Q: x(t)=1(t+4T)

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Q: Use partial fractions to find the inverse Laplace transform of F(s) =  (2s3−s2) /(4s2−4s+5)2

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Q: Find the Inverse Laplace Transform 11s – 2s +5 2s3 – 3s2 – 3s + 2 |

A: Given Inverse Laplace Transform isL-111s2-2s+52s3-3s2-3s+2The Inverse Laplace Transform is…

Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3

Q: 5s2 +34s + 53 (s+3)² (s +1)

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