I know at some point, years ago, I could differential equations in my sleep. But now after going through my old math book and reading a number of the threads here, I'm really confused. The problem I am looking to solve looks like this:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]

dV = - \mu V^2 t - \beta t

[/itex]

where mu and beta are constants, t is time and V is horizontal velocity. I want to compute the horizontal velocity at time t given the initial horizontal velocity, mu and beta. My problem gets more complex with the second equation I need to solve:

[itex]

dH = \gamma V^2 t - \alpha t

[/itex]

where gamma and alpha are constants, t is time, V is horizontal velocity and H is vertical velocity. I want to compute the vertical velocity at time t given the initial horizontal velocity. I've been going nuts trying to make this work in my head. They look like rudimentary textbook problems, but I just can't seem to make sense of them. Could someone walk me through the steps?

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# Having the Hardest Time

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