I want to solve the following differential equation:
y''(x) + (a+b*exp(-c*x)) y'(x) + (d+f*exp(-g*x)) y(x) = s(x)
with y(0)=0, y'(0)=0
a,b,c,d,f,g are constant and s(x) is known. Any suggestions on how I could solve it? I am even not able to solve the homogeneous equation (s(x)=0).
To find a solution to the following approximation would also help me:
y''(x) + (a-c*x) y'(x) + (d-g*x) y(x) = s(x)
Looking forward to your answers.