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

  • Thread starter El Flea
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  • #1
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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
 

Answers and Replies

  • #2
tiny-tim
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Hi El Flea! :smile:

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

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 :wink:

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

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