Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a della func -8y=5(1-3), (0)=2, (0)=0. a. Find the Laplace transform of the solution Y(a)=C(v(t)} = (-35)(s(-8))+2/s b. Obtain the solution y(t) (1)- c. Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t-3. if 0 < t <3, v(1) 1/8(e (8(1-3))-1)+2 if 3 < t < 00.

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

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Q: constants. Find the network response.

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Q: Solve the given initial-value problem using the Laplace transform: -{- = x(0) = 5. x' + 3x if 0<t<4…

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Q: Q1/ Solve the following equation using Laplace Transform, when y(0) =0, and y =2 y-3y+2y3D2t

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Q: Use the Laplace transform to solve the given initial-value problem. y' - 2y = 5(t – 4), y(0) = 0…

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Q: Consider the following IVP: y''-3y'-10 y=1, y(0)=-1,y'(0)=2 (a) Find the Laplace transform of the…

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Q: using Laplace transform. S=10h 'T=coh Ft = ht+by - banjos (8)

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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: (6) Solve the Integro-differential equation: +4y +5 y(t) dt = e-t; y(0) = 0 dx (7) Find the Fourier…

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Q: Please help me solve using the Laplace Transform y''-7y'+10y =9cos(t)+7sin(t)            y(0) = 5,…

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Q: Solve the nonhomogeneous differential equations y" + 25y = 18 cos(4x) + 18 sin(4.x). Do not use the…

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Q: 1) Solve U = Uz + U, u(1,t = 0) = sin(e¯² ) cos z, COS T, %3D %3D

A: Given,             and