Solve the following differential equation: y''+4y'+4y=u(t-1)-u(t-3), y(0)=0, y'(0)=0

Expert Solution

Colby Messinger answered 1 year ago

y"+3xy'-4y=0 Solve the differential equation.

Solve the differential equation y''+y'-2y=3, y(0)=2, y'(0) = -1

Solve the initial value problem: Y''-4y'+4y=f(t) y(0)=-2, y'(0)=1 where f(t) { t if 0<=t<3 , t+2...

Solve the initial value problem: Y''-4y'+4y=f(t) y(0)=-2, y'(0)=1 where f(t) { t if 0<=t<3 , t+2 if t>=3 }

Solve the differential equation. y'' − 8y' + 20y = te^t, y(0) = 0, y'(0) =...

Solve the differential equation. y'' − 8y' + 20y = te^t, y(0) = 0, y'(0) = 0 (Answer using fractions)

Solve the ordinary differential equation analytically: y''-4y-+3y = 5cos(x) + e^(2x) y(0)=1, y'(0)=0

1. The differential equation y''+4y=f(t) and y'(0)=y(0)=0 a. Find the transfer function and impulse response. b....

1. The differential equation y''+4y=f(t) and y'(0)=y(0)=0 a. Find the transfer function and impulse response. b. If f(t)=u(t)-u(t-1). Find the y(t) by convolution and Laplace techniques. u(t) is unit step function. c. If f(t)= cos(t) ; find the y(t) by convolution and Laplace techniques. 2. The differential equation y''+3y'+2y=e^(-3t) and y'(0)=y(0)=0 a. Find the system transfer function and impulse response. b. Find the y(t) by convolution and Laplace techniques. 3. y''+3y'+2y=f(t) and y'(0)=y(0)=0 Plot y(t) without any calculations and write...

Differential Equations Use a series solution to solve the IVP . y′′−4y= 0 y(0) = 3...

Differential Equations Use a series solution to solve the IVP . y′′−4y= 0 y(0) = 3 y′(0) = 5. (Your answer will use one or more series.)

Solve the differential equation. y''-3y'-4y=5e^4x initial conditions: y(0)=2 y'(0)=4

Use Laplace Transforms to solve the following second-order differential equation: y"-3y'+4y=xe2x where y'(0)=1 and y(0)=2

Solve the differential equation. y'''-4y''+5y'-2y=0 Initial Conditions: y(0)=4 y'(0)=7 y''(0)=11

Question