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I have some trouble with a challenging fluid mechanics problem. The problem leads me to a non-linear ode 1st order.

$0={\dot p_C}^2+\frac{k_1}{k_2 C}\dot p_C+\frac{p_C-p_0}{k_2C^2}$

My Idea was now to change the equation to $\dot p_C$ and solve this in Simulink. So I used the quadratic solution formula.

$0=x^2+px+q \to x_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p^2}{4}-q}$

Now I'm not sure. Am I allowed to do that at this differential equation?

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  • $\begingroup$ Some first simulations show, that my approach get some good looking results $\endgroup$ Jun 22, 2013 at 13:23

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Sure, as long as you actually want to find the x-intercepts of the differentiated equation, or rather turning points of the original equation

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