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Im trying to do a change of variable on the following PDE enter image description here Using the following change of variable $$ V(P^1,P^2) = P^2 W(C), C=\frac{P^1}{P^2} $$ I get this for the homogeneous part of the equation: enter image description here

But I can't seem to get rid of $P^1$ and $P^2$ in the change of variable of $max(P^1-P~2)$

Can you please help me on this? Am I missing something?

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  • $\begingroup$ please type your notes in latex.... $\endgroup$
    – lehalle
    Apr 22 at 7:39

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