Find the general solution to the following ODE:
My working so far: Clearly this is a second order, non-homogeneous equation. The equation follows the form: $$a(x)y''+b(x)y'+c(x)y=g(x)$$ Thus, the general solution for this can be written as: $$y=y_h+y_p$$ yh:
yh is given by the solution to the homogeneous ODE a(x)y''+b(x)y'+c(x)y=0. So,
The problem is that I don't know how to find the values for r
I am also confused about how to find yp (the particular solution).
Any help would be much appreciated. Thanks in advance.