Use the Laplace transform to solve the following initial value problem (t)= -4-32y=6(t-9) v(0) = 0, s'(0)=0

Q: y" + 4y' + 3y = x² Solve this equation using Laplace transform

A:

Q: I need to use the Laplace Transform to solve the given initial value problem

A: We will solve the given differential equation using Laplace transform method.

Q: The signal x() exp(-at)u(t) is passed as the input to a system with impulse response…

A: We have given a signal ..with the help of the Fourier transform we find energy ..the procedure is…

Q: use laplace transform to solve y'-y=2cos(t), y(0) = 4

A:

Q: Consider the following ODE: 7* + 5x = 39(t) a. Solve for x(t) using the Laplace transform method.…

A:

Q: Use the Laplace transform to solve the following initial-value problem for a first-order equation.…

A:

Q: Q4 Solve step Functions in Laplace transform t < 6 x ≥ 0 f(t)= = { = 8+ (-8+ (t-6)²

A: The given problem is to find the Laplace transform of the given unit step function. Use the…

Q: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u…

A:

Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

A:

Q: 3. (LT-1) Use the Laplace transform to find the solution to the following initial value problem: y"…

A:

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

A:

Q: 3. Use Laplace transform to solve the IVP y" + 9y = e', y(0) = 0, y'(0) = 0. %3D %3D

A: Laplace transferom, solve the intial value problem

Q: - y"+10y'+25y=0y(0)=0_y"(0) = 10

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Use the Laplace transform to solve the following initial value problem y" + 16y=86(t-6) Use…

A: First find Laplace transform and then find inverse Laplace transform. We get required solution for…

Q: Use convolution and Laplace transform to evaluate y''+y=sin(t) , y(0)=1 , y'(0)=-1

A:

Q: Kindly use the Laplace transform to solve y" +2=0 subject to the initial conditions y (0) = 7, y'(0)…

A: Given initial value problem isWe have to use Laplace transform to solve the given initial value…

Q: 8. Solve using the Laplace Transform: x" + 4x + 3x = 1 + e -2, x(0) = 0, '(0) = 1.

A:

Q: Use Laplace transforms to solve the following initial value problem. x'' - 9x = 5t; x(0)=x'(0)=0…

A: The given initial value problem is x''-9x=5t, x(0)=x'(0)=0 The laplace differential formula is…

Q: Use Laplace transforms to find the equation of the current as a function of time i(t) in a series…

A: Given that,L=0.1 HR=45 ΩC=2·10-4 FV=12 Vi(0)=0q(0)=0

Q: x^2y′′ + (3/2xy′ + [(1/36)x^2/3 − 7/144]y = 0 z = (1/2)x^1/3, w = yx^1/4 Solve it using the…

A: The transform method can be used to find the solution to the differential equation x^2y′′ + (3/2xy′…

Q: Use Laplace transform to solve the following IVP y′′(t) = 4y(t) −e^(−t)U(t −1), y(0) = y′(0) = 0.

A:

Q: 6. Use the Laplace transform to solve the following IVP. The table is on the next page. y" + 3y' -…

A:

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the…

A: Solving above differential equation problem using laplace transforms

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

A: solution:Given the differential equationy''-7y'+10y=9 cos t+7 sin t   y0=5, y'0=-4Taking laplace…

Q: Let Y(s) be the Laplace transform of y(t). Find the equation satisfied by Y(s) when solving the…

A: Introduction: The Laplace transformation is a very important tool in solving an initial value…

Q: Solve the following by Laplace Transform y' – y – by = 0, y (0) = 11, y (0) = 28

A: The Laplace transformation formula are  Ly''=s2Ys-sy0-y'0, Ly'=sYs-y0. Apply Laplace transformation…

Q: Solve the initial value problem using Laplace Transform of: y'' - 3y'+10y = e-2t when y(0)=0,…

A: Given initial value problem is y''-3y'+10y=e-2t,y0=0, y'0=1 To find the solution of the equation.

Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

A:

Q: orm y(t) = 4e-2cos

A:

Q: Solve the following equations using Laplace transform; (a) d2x/dt2 + 4 dx/dt + 3x = 2     x(0) =…

A:

Q: Using Laplace transform, solve y"+25y=t, y(0)=1 and y'(0)=0.04

A: Given that, y''+25y=t, y(0)=1, y'(0)=0.04 The laplace transform for, Ly''=s2y(s)-sy(0)-y'(0)Lt=1s2…

Q: 1. (a) Solve the following equations by using Laplace transform; i.) d?x/dt² + 4 dx/dt + 3x = 2 x(0)…

A: Given

Q: Use Laplace Transform to solve the following initial- value problem: (2) dx + xy 4x y(0) = 0, ỳ(0) =…

A: Given, dydx+xy=4x , y(0)=0 ,y'(0)=2 Taking Laplace Tranform throughout the given Differential…