How to solve 2nd order non-linear DE with exponential

[El Flea]

Hi,

Does anyone knows how to solve this 2nd order non linear differential equation with exponential components?

d"V/dx" = A*exp(-B*V)-C*exp(B*V)

where A, B, C are constants.

Thanks

 

[tiny-tim]

Hi El Flea!

(try using the X² tag just above the Reply box )

Hint: you can make this a first-order equation by using the standard trick:

d²V/dx² = dV'/dx = dV'/dV dV/dx = V' dV'/dV

(which btw is where the 1/2 mv² in energy equations comes from)