In: Advanced Math
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions.
y(3)+2y''-y'-2y=0; y(0)=1, y'(0)=2, y''(0)=0,
y1=ex , y2=e-x, y3=e-2x
Find the particular solution.