Second order nonlinear nonhomogeneous differential equation

Hello,

I am having a little trouble solving this equation:

where A, B, C, D, and E are constants.

So far, I've found this

http://eqworld.ipmnet.ru/en/solutions/ode/ode0344.pdf

which would solve the first half of the equation. Is it possible to use a technique such as variation of parameters to solve the rest, or do I need a new approach entirely?

Many thanks in advance for any help on this!

OnePound

Re: Second order nonlinear nonhomogeneous differential equation

One may ask first - are the constants truely arbitrary constants?

Re: Second order nonlinear nonhomogeneous differential equation

Yes, I'm afraid they are!

The context is an equation modelling a rocket; A denotes a constant relating to the coefficient of friction, and E is the mass lost per second.