thanks for the reply...
for the homogeneous equation:
y''(x) - A*y'(x) - B*exp(-C*A*x)*y(x) = 0
if the substitution z =exp(-C*A*x) is used,it becomes something like the following one( if i am not wrong):
z*y''(z) + (1 + 1/C)*y'(z) - B/(C*A)^2*y(z) = 0
which has a solution containing bessel...
i want to solve the following differential equation:
y''(x) - A*y'(x) - B*exp(-C*A*x)*y(x) = M*exp(-N*x)
A,B,C,M,N are constants.
-is there any solution of the above equation (except series solution)?
-is there any proper substitution that can turn the variable coefficient into constant...