I have spent hours and hours trying to solve a problem until reaching a dead point. I don't know how to solve, simplify, or proceed next with the following PDE:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]m \frac{\partial^2 x}{\partial t^2} + 2 \frac{\partial m}{\partial t} \frac{\partial x}{\partial t} + x \frac{\partial^2 m}{\partial t^2}=0[/tex]

Or, in other words: mx_tt + 2m_tx_t + xm_tt = 0

[tex]m x_{tt} + 2 m_{t} x_{t} + x m_{tt}[/tex]

I thought it'd be easier but I don't seem to be able to simplify it. Maybe it is a form I don't recognize.

JC

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# Very interesting problem

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