using laplace transform find Y(s) for y" - y = sin t for y(0) = 0

Q: f (t) = 2 sin(bt) sinh(bt)

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Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

A: Given that:-  y" + y' = 0 and y(0)= 0, y'(0) =1 We find laplace transform of this differential…

Q: y''-4y=et , y(0) = 0 , y'(0)= 1 Laplace transform

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Q: Using Laplace transform to solve y' +y = sin(t), y(0) = 1.

A: Applying Laplace transformation,

Q: 2. Use Laplace transform to solve y" + y = 8(t – 27) cos(t) y(0) = 0, y(0) = 1

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Q: As requirement in finding Laplace transform of function of the given form, the limit of the function…

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Q: solve differential eq by laplace transform the charge qt on capacitor in an lc series circuit is…

A: Consider the provided D.E,

Q: O Find Fourier Cosine transform of: CoS X oa

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Q: y''-y'=etcos t , y(0)=0 , y'(0)=0 Laplace Transform

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Q: cantilever beam is embedded at its left end and free at its right end. Use the Laplace transform to…

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Q: Etample T4 Find the inverse finite cosine transform f (x) if (2nn cos 3 where 0<x < 4. F(n) = (2n +…

A: Inverse finite cosine transform

Q: Solve equation using Laplace transform ÿ + 9y = 8 (t -) |sin(t), y(0) = 0, ý(0) = 0

A: Formulae:  1. Lf(t)δ(t-a)=e-asf(a) 2. Lf''(t)=s2F(s) - sf(0)-f'(0) 3. L-1e-asF(s)=H(t-a)f(t-a),…

Q: İn delta function ; δ(t-t0) =0 , t ≠t0 , integrate δ(t-t0) t=0 to t=infinity equals to 1. According…

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Q: sin(6t) Use linearity and known computations for the Laplace transform to compute L sin(6t) 2 А. С…

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Q: y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: 1. Laplace trans form if L[2t2- 1]? 2. Laplace transform if {e sin 4t} 3. Laplace transform if {t…

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Q: Using Laplace Transform. Find the initial value problem у" + 2y' + 5у %3 е -'sint y(0) = 0, y'(0) =…

A: Given equation is, y''+2y'+5y=e-tsint It is known that,…

Q: 7. Laplace transform of f(t) = sin (7t), use the table of shortcut formulas 8. Laplace transform of…

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Q: SOLVE FOR LAPLACE TRANSFORM e" (cost + 3 sin t) e-3 -2t e2t (t3 + 5t – 2) sin 2t sin 5t

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Q: sin 2t (i) Find the Laplace transform of

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Q: What is the first element of z?

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Q: Solve equation using Laplace transform ÿ +9y = 6 (t -) sin(t), y(0) = 0, y(0) = 0 %3D

A: Given the given equation is y"+9y=δt-π6sint,     y0=0,  y'0=0 Use the property of delta function.…

Q: solve for Y(s), the Laplace transform of the solution y(t): y'' +6y'+5y=te^t  where y(0)=2 and…

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Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

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Q: Sole by Laplace Transform: y''-4y=4t-8e^(-3t);  y(0)=0, y'(0)=1

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Q: Using Laplace Transform, solve y" + 2ty' – y = t when y(0) = 0, and y'(0) = 1. %3D

A: Given:y''+2ty'-y=t,y(0)=0,y'(0)=1

Q: (0, 0 b asxsy

A: Fourier Transform

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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Q: Solve using Laplace transform y" - y = e' cost, y(0)= 0, y'(0)=0

A: Solve the differential equation by using lapalce transformation

Q: f (t) = 3 sin(bt) cosh(bt)

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Q: Solve for the general and particular solution using Laplace Transform y" + y = sqrt (2) (cos sqrt…

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Q: | sin 3t dt – y' y =

A: To find the Laplace of function y=f(t) first evaluate the integral ∫0t sin 3τ dτ .…

Q: 9. Using Laplace transform evaluate following integrals: poo sin2 t dt te-3 sin t dt

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

Q: Q1) using Fourier transform find x(t) below x(t) = [e-3tu(t) * e-6*u(t)] dt

A: Solution is given below

Q: y''-4y=et , y(0) = 0 , y'(0)= 0 Laplace transform

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Q: Laplave Transform

A: Solve the given differential equation by Laplace transform. The given equation is y''(x)+9y(x)=40ex…

Q: 2. Use Laplace transform to solve y" + y = 6(t – 27) cos(t) y(0) = 0, y'(0) = 1 %3D %3D

A: We have to find the solution of the given initial value problem. y"+y = δ(t−2π)cost With initial…

Q: laplace transform for 6 sin 2t

A: The objective is to find the Laplace transform of 6sin2t. Now, L6sin2t=6Lsin2t

Q: Using laplace transforms solve for x and y: dx dy + + 5x + 3y = e-t dt dt dx dy 2 + +x+y = 3 dt dt…

A: Laplace transform of (i) Ldxdt=sX(s)-x(0),  Ldydt=sY(s)-y(0)(ii) Le-t=1s+1

Q: integrate δ(t-t0) t=0 to t=infinity equals to 1. According to this what is the  Laplace transform…

A: y''+4y=δ(t-π)-δ(t-2π)    y(0)=0 y'(0)=0

Q: Solve the shifted data IVP by the Laplace transform method showing your work in details. y"-xy'-y=0…

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Q: = sin 2 t, 2 n <t < 4 n and f (t) = 0 otherwise, in terms Represent f(t) of unit step function and…

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Q: find laplace transform of (cos h * t)/t

A: Laplace transform is used to find  the solution of linear differential equations -…

Q: y" +y' = e' + 1; y(0) = y'(0) = 0 %3D

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Q: y" – 25 y = sin(3t), y(0) = -2, y (0) = -1. %3D Evaluate L {sin(3t)} using the definition of the…

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Q: 2. Using Laplace transform to solve y' + y = sin(t), y(0) = 1. %3D

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Q: +5y-6y 21e, y(0) =-1, y' (0) =

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Q: 8. Using the Laplace transform, find the solution to y" + y = sin t, y(0) =0, y'(0) = -1. %3D

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Q: y''-y'=etcos t y(0)=0 , y'(0)=0 Laplace Transform

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