I have derived a first order nonlinear PDE with its corresponding initial and boundary conditions given by:(adsbygoogle = window.adsbygoogle || []).push({});

dv/dt + A*(v^2)*dv/dx = 0 (where A is a constant)

v(t = 0) = C (constant value)

v(x = 0) = 0

I'm not quite sure how to solve this. I was thinking about using the method of characteristics, but since I haven't had too much experience with it, I'm not sure if it would be applicable here. If anyone has any hint on how to get started, I would really appreciate it. Thanks in advance.

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# Homework Help: First Order Nonlinear Partial Differential Equation

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