y''' −2y' −4y = 0, y(0) = 6, y'(0) = 3, y''(0) = 22
solve the initial value problem
You would convert it to m^3-2m-4=0. You find the root (m=2) and
use synthetic division to find the other roots. m^2+2m+2 is what
you get. I am stuck on what to do next?
y = 2e^(−x)*cosx−3e^(−x)*sinx + 4e^(2x) is the answer.
Solve the differential equation y'''-3y''+4y=e2x
using variation of parameters and wronskians. Please provide steps
especially after finding the wronskians.
Solve the initial value problem: y'' + 4y' + 4y = 0; y(0) = 1,
y'(0) = 0.
Solve without the Laplace Transform, first, and then with the
Laplace Transform.