1.

Solve the differential equation (x^2 frac{ u}{ x}+y^2 frac{ u}{ y}=u ) using the method of separation of variables if (u(0,y) = e^{ frac{2}{y}} ).

A. (e^{ frac{-3}{y}} e^{ frac{2}{x}} )
B. (e^{ frac{3}{y}} e^{ frac{2}{x}} )
C. (e^{ frac{-3}{x}} e^{ frac{2}{y}} )
D. (e^{ frac{3}{x}} e^{ frac{2}{y}} )
Answer» D. (e^{ frac{3}{x}} e^{ frac{2}{y}} )


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