39) ģ+5ý +43=o, , ylo) =1, yco)-o

Q: Use the Laplace transform to solve the given initial-value problem. y'' + y = delta(t − 6pi) +…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 5y' = 6(t – 1), y(0) = 0,…

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Q: Use the Laplace transform to solve the given initial-value problem. y'' + 8y' + 41y = delta(t − pi)…

A: Given initial value problem, y''+8y'+41y=δt-π+δt-3π,y0=1, y'0=0 Solve this problem using Laplace…

Q: By using Laplace transform to solve the IVP: y" - 4y' +9y=t, with y(0) = 0 and y'(0) = 1 Then Y(s)…

A: Given IVP is  y"-4y'+9y=t ......(1) y(0)=0,y'(0)=1 .....(2) We fin Y(s).

Q: Use the Laplace transform to solve the given initial-value problem. 2y" + 3y" — Зу' - 2у %3D е",…

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Q: use the Laplace transform to solve the given initial-value problem. Q. y′′+9y =7sin4 t+14cos4t,…

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Q: Determine the initial value of c(t) where the Laplace transform of C(s) is given by: (4s +1) s(s +…

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Q: use the Laplace transform to solve the given initial-value problem. Q. y′′−9y =13sin2t, y(0)=3,…

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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: Use the Laplace transform to solve the given initial-value problem. У"+6у'+5у %3D0, у (0) %31,…

A: Given differential equation is y'' + 6y' + 5y = 0 with y(0) = 1 , y'(0) = 0

Q: Use the Laplace transform to solve the initial value problem: 0St<3 (-5, y(0) = 0, y'(0) =-1 y +9y=…

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Q: Use the Laplace transform to solve the given initial-value problem. dy — у %3D 1, у(0) %3D 0 dt

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Q: Use the Laplace transform to solve the given initial-value problem. 2y" + 3у" — Зу' - 2у %3D е-t,…

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Q: use the Laplace transform to solve the given initial-value problem. Q. y′′−y =8sint −6cost, y(0)=2,…

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Q: Solve the initial value problem using Laplace Transform: a. y" – 2y' + 5y = -8e-t, y(0) = 2, y'(0) =…

A: We have apply Laplace transform to solve the given problem.

Q: use the Laplace transform to solve the given initial-value problem. Q. y′′+y =6cos2 t, y(0)=0,…

A: Given differential equation is And initial condition is

Q: 1. Use the Laplace transform to solve the IVP: y" – 4y' = 6e3t – 3e¬t, y(0) = 1, y (0) = –1 %3D

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Q: Use the Laplace transform to solve the given initial value problem. y" – 4y – 45y = 0; y (0) = 10, y…

A: let Y(s) be the Laplace transform of y(t) then,

Q: Use the Laplace transform to solve the given initial-value problem. y" + 10y' + 34y = 8(t - n) + 6(t…

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Q: use the Laplace transform to solve the given initial-value problem. Q y′−y =5sin2 t, y(0)=−1.

A: Given Data The differential equation is y’-y=5sin2t. y(0)=-1.   Using Laplace transform on the given…

Q: use the Laplace transform to solve the given initial-value problem. Q y′′−3y′+2y =4, y(0)=0,…

A: Given differential equation is

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

A:

Q: use the Laplace transform to solve the given initial-value problem. Q. y′′+5y′+4y =20sin2t, y(0)=1,…

A: Given equation is of the form y''+5 y'+4 y= 20 sin 2t , y(0)=1, y'(0)=-2 We know that

Q: Use the Laplace transform to solve the given initial-value problem. 2y+3y" - 3y - 2y = et, y(0) = 0,…

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Q: 2: Solve the following initial value problem by using Laplace transform 4y" + n²y = 0,y (0) = 2, y'…

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Q: use the Laplace transform to solve the given initial-value problem. Q y′+2y =4t, y(0)=1.

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Q: у"+ 2y' + 5у %3D0, у(0) — — 1, у'(0) %3D

A: We have to solve the initial value problem y''+2y'+5y=0,  y(0)=-1, y'(0)=6

Q: use the Laplace transform to solve the given initial-value problem. Q. y′′−y′−2y =10cost, y(0)=0,…

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Q: 25. Solve the BVP using the Laplace transform method PDE: un = c¯Ux 0<x< ∞, 0st<∞ ВС: и(0, г) — 0…

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Q: Use the Laplace transform (including all tables and theorems) to solve the initial value problem.…

A: 5/2+11/10 e4t-2e3t-3/5e-t

Q: 2. By Laplace transform, solve the D.E. y' + 2y = 3te-2t, y(0) = 4.

A: Using Laplace transformation,

Q: Use the Laplace transform to solve the initial value problem. ty" + (4t – 2)y' + (13t – 4)y = 0 {…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e2t - 2et, y(0) = 1,…

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Use the Laplace transform to solve the given initial-value problem. у" + у %3D 6(t — 4п), у(0) 3 0,…

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Q: 2y" + 12y' + 19y %3D 0, У(0) %3D 2, у'(0) %3D 0

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Q: Use the Laplace transform to solve the initial value problem. ty" + (4t – 2)y' +(13t – 4)y = 0, y(0)…

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Q: Use the Laplace Transform to solve the initial value problem. y" -6y + 13y 0, y(0) = 0, y ((

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 10y = 5(t – 27), y(0)…

A: First I have written the necessary formulas of Laplace transform , then taking Laplace transform to…

Q: Use Laplace Transform to solve the initial-value problem, y" – y = 8(t – 5), y(0) = 1, y'(0) = 1

A: We solve the given initial value problem by using Laplace transform method.

Q: use the Laplace transform to solve the given initial-value problem. Q. y′′−3y′−4y =4e−t, y(0)=1,…

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Q: 13. Use the Laplace transform to solve the following differential eguation y" + 4y/-5y 10 with y(0)…

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Q: Use the Laplace transform to solve the given initial-value problem.  y''-13y'+42y=U(t-1), y(0)=0,…

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Q: Solution the following initial Value problem using the laplace transform y"+ 4y=4t, ylo)=1 and…

A: Given the initial value problem      y''+4y = 4t, y(0)=1, y'(0)=5 Solve it using Laplace transform.

Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: Use Laplace Transform to solve the initial-value problem, (D^3 + 2D^2 - D - 2)y = sin(3t), y(0) = 0,…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8e4t - 4e-t, y(0) =…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = Set-4et, y(0) = 1,…

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Q: Use the Laplace transform to solve the given initial value problem for y" – 6y – 16y = 0; y(0) = 8,…

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Q: Use the Laplace transform to solve the given initial-value problem. у" + у %3D 8(t - бл), у(0) —- 0,…

A: We will find out the required solution using Laplace transform method.

Q: 2. Use Laplace transform to solve | cos(4t), 0T y" + 16y = ; y(0) = 0, y'(0) = 1.

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