Consider the Tricomi equation
$$u_{xx}+xu_{yy}=0$$
With the transformation $(r,q)=\left(-\frac{2}{3}x^{3/2},y\right)$, I found the canonical form but I could not solve it:
$$v_{qq}+v_{rr}+\dfrac1{3r}v_r=0.$$
2026-03-26 18:59:49.1774551589
Tricomi equation canonical form and solution
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