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u=x, v=[itex]\alpha[/itex]x+[itex]\beta[/itex]tAy_{xx}+By_{xt}+Cy_{tt}=0 ; B^2-4AC>0

becomes

Ay_{uu}+(2A[itex]\alpha[/itex]+B[itex]\beta[/itex])y_{uv}+(A[itex]\alpha[/itex]^{2}+B[itex]\alpha[/itex][itex]\beta[/itex]+C[itex]\beta[/itex]^{2})y_{vv}=0

(A,B,C are constants)

I have no idea where to start. and i have to present this problem to the front of my class on monday. Can anyone give me a big head start or anything?

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# Partial diffs help please!

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