# Complete solution or General solution of PDE

I am a research student of Mathematical physics. I am looking a generalization to find a complete or general solution of Partial Differential Equations in the form of:

$$\frac{\partial^2M}{\partial t\partial x} = F\left(M, \frac{\partial M}{\partial t}, \frac{\partial M}{\partial x}, \frac{\partial^2M}{\partial x^2}\right).$$

I need the generalization with suitable example.

for the better understanding I am looking general solution for the following question.

1. Find general solution of $∂^2$M/∂t∂x = M($∂^2$M/$∂t^2$)

Thank you all.

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 I have given the problem in very clear form. Unfortnatly, some other member is edited and made finally as ' math processing error]. Please re write my post. – dr.jgk Nov 13 '11 at 6:43 I would like to know about the solution of my post. Is there any one who can really help me... – dr.jgk Nov 13 '11 at 6:44 Plz. experts... answer my post – dr.jgk Nov 13 '11 at 12:02 Request for mathematicians, please answer my post... – dr.jgk Nov 13 '11 at 16:14 I am so surprised to see my post without solutions. Is there any expert, who can solve my post??? – dr.jgk Nov 14 '11 at 4:39