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I'm having a hard time. I want to generate an equation system with two equations from a second degree equation.

For example, get two first degree equations from :

$$y''=- \frac k m|y'|y'-g$$

(k, m and g are constants)

And yes, it is a homework, I just can't figure out how to do it.

1 Answers 1

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Set $v = y'$. Then you get the system:

$$ \begin{cases} v' &= -\dfrac k m|v|v-g \\ v &= y' \end{cases} $$