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1. Show that U=f(x) + e^(-3x) g(2x+y), where f and g are arbitrary smooth functions, is...

1. Show that U=f(x) + e^(-3x) g(2x+y), where f and g are arbitrary smooth functions, is a general solution of Uxy- 2Uyy +3Uy=0. Do not solve!

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