3 find the invers laplace f(t) = S+3 s²+3

Q: Solve the IVP using Laplace transforms. x'(t) = t?, x(0) = 4

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Q: 4 3 F(s)= (s – 5)³

A: Given that: F(s)=4(s-5)3

Q: s2 – 4s +10 F(s) = (s – 2)*

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Q: 8s +7 F(s)= s² +8s + 32

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Q: 3s +4 F ( s ) = s² – 8s + 52

A: Topic = Inverse Laplace

Q: Find the Laplace of f(t) = (t− 2)(t+2)e-³t

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Q: 15 7.) F (s )= 5s – 1 S

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Q: Find the function f (t ) given its Laplace transform F( s ). F(s)=ln((s+2)(s^(2)+9))/(s^(2)-4)

A: Let's find.

Q: Solve the IVP using the Laplace transform. y" – 7y' + 10y = e'", y(0) = 2, y (0) = 0

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Q: solve using laplace transform: 1.) f(t) = 32t 2.) F(s) = (s+1)/(s2+1)

A: The Laplace transform of the function f(t) is represented as F(s), it is defined as ∫0∞e-stf(t)dt,…

Q: 3s +4 F(s)= s² – 8s + 52 -

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Q: 2 Calculate the inverse Laplace of by using Convolution theorem s(s2 +2s+4)

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Q: 6. Use Laplace transforms to solve the initial value problem, 4t, 0<t<1 y' +2y = f(t), y(0) = 0,…

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Q: 10s –1 F( s)= s² +7

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Q: Find the function f (t ) given its Laplace transform F( s ). F(s)=(s^(2)-s-5)/((s-1)(s^(2)+2s+2))

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Q: A robotic arm produces output f(t) in two different conditions based on the given Laplace Equations.…

A: Solution is given below:

Q: 2s – 1 F ( s ) = s² + 6s +34

A: The given Laplace Transform,F(s)=2s-1s2+6s+34

Q: 4 3 4.) F(s)= (s– 5)³

A: The Laplace transform is F(s)=4(s-5)3

Q: Show that the function z = 1/2 (ey − e−y)sin x satisfies Laplace’s equation          ∂2z / ∂x2 + ∂2z…

A: Given that, z=12ey-e-ysinx

Q: Find the function f (t ) given its Laplace transform F( s ). F(s)=(s^(2)-4s-8)/((s^(2)-4s+20)^(2))

A: Given F(s) =s2-4s-8s2-4s+202 important formula ;  L-12 a3s2+a22=sinat-atcos(at)

Q: Find the Inverse Laplace of F(s) = = s+3 (s—2)³

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Q: Solve the laplace of: x(t) = 4 x(t) = 3 t>1 O a.

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Q: d2y/dt2-y=t2 (laplace transforms)

A: To solve the given differential equation using Laplace transform. Here we will use the following…

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = 2y"" + 3y" - 3y - 2y =…

A: The given differential equation is; 2y'''+3y''-3y'-2y=e-t,y(0)=0,y'(0)=0,y''(0)=1.

Q: s2 +10s – 11 (s +5)* F (s)=

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 2 sin(V2t), y(0) = 6,…

A: Laplace transformation problem....

Q: 7s +11 2.) F(s)= s² – 100 -

A: Given:- F(s)=(7s+11)/(s2-100) To find:- function f(t) given its Laplace transform F(s).

Q: Use the Laplace transform to solve the given initial-value problem. y" + 2y' + y = o, y(0) = 1,…

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Q: Solve using the method of Laplace transforms /" – 3y' +2y (0) = 0 -3t (a) f(t) = e

A: To solve the differential equation using Laplace transform:

Q: 6. Verify that the function f(x, y) = ln (x² +2²) is a solution of the Laplace equation Zxx+Zzz = 0

A: Topic:- application of derivatives

Q: transformada de Laplace

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Q: 4+ Find the Laplace Tran SForm 3- 1 Ans. F(s) = 13) 2- s(1+e") 1- 1 3. 4.

A: Please check the answer.

Q: S how that f (x, y)= tan! Satio fy the Laplace equation fae + fyy =0.

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Q: 10 F(s)= s² – 9s + 25

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Q: 2s – 1 | 10.) F (s )= s² + 6s + 34

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Q: Use the laplace transform to solve y'' + 4y' + 5y = S(t-2pi), y(0)=0, y'(0) = 0

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Q: Q2:Find the Laplace of the 1- cos(2t) 1. f(t) = t

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Q: 9. 5.) F(s)= s² – 18s + 45 2 %3D

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Q: f(t) = t(VE³ + 1)²

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Q: 5. Find the Inverse Laplace of 6+(s+1)(s²– 5s+11) F(s): s (s-1)( s-2)( s+1)

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Q: 22 10 15 4 + 3 1.) F(s)= s* s +6 s² +25 S

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Q: F(s) = S-1 (s+3)(s²+2s+2)

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Q: A robotic arm produces output f(t) in two different conditions based on the given Laplace Equations.…

A: Given:- F(s) =(5s+5)/(s2+4s+204)  To find:- Drive f(t) for given function

Q: Q1: Find Laplace Transfers f(t) = e-2t sin² 3t (1) f(t) = t² sinh 4t (2)

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Use Laplace transforms to solve dy dy +4. +4y=2e where y(0)=0 and =0 dt2 dt dt. t=0

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Q: 8 4) The inverse Laplace f (t) if F(s): %3D s2+2s+3

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Q: fi at nd laplace: {e}

A: Use the formula for the Laplace Transform for the given function.

Q: 2s – 9 F(s)= s² – -12s + 40

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Q: 2.s -5 3.) F(s) = (s² + 2s +17)

A: The Laplace transform of f(t) is: F(s)=2s-5s2+2s+172