(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

m*dv/dt = - mg - kv^2, where m,g and k are constants and v(t) is what I should solve

2. Relevant equations

3. The attempt at a solution

At first I solved homogeneous equation m*dv_{h}/dt = -kv_{h}^2 and got v_{h}= m/(kt - cm). Where c is also constant.

Then I treid to get one solution for the original inhomogeneous equation by subtituting v = f(t)*v_{h}= f(t)*m/(kt - cm) in the original equation, but by it I only got a more difficult differential equation for f(t). So it didn't work.

I also tried a few different subtitutions at the beginning with no success.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Nonlinear first-order differrential equation

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