Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y=c1 + c2e^(2x)

Adi S.

Question

Find a homogeneous linear differential equation with constant coefficients whose general solutio

Drew Scalzo · Accepted Answer

First, we need to find the characteristic equation of the given differential equation. Since the

Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = c1 + c2e^2x cos(4x) + c3e^2x sin(4x) y''' - 4y'' + 20y' + 16y = 0 y''' - 4y'' - 20y' + 16y = 0 y'' + 20y' + 16y = 0 y'' + 4y' + 20y = 0 y''' - 4y'' + 20y' = 0