Find the general solution of uxx − 3uxy + 2uyy = 0 using the the method of characteristics: let v = y + 2x and w = y + x; define U(v, w) to be U(v, w) = U(y + 2x, y + x) = u(x, y); derive and solve a PDE for U(v, w); convert back to u(x, y).
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