1.

Solve the partial differential equation (x^3 frac{ u}{ x} +y^2 frac{ u}{ y} = 0 ) using method of separation of variables if (u(0,y) = 10 , e^{ frac{5}{y}}. )

A. (10e^{ frac{5}{2x^2}} e^{ frac{5}{y}} )
B. (10e^{ frac{-5}{2y^2}} e^{ frac{5}{x}} )
C. (10e^{ frac{-5}{2y^2}} e^{ frac{-5}{x}} )
D. (10e^{ frac{-5}{2x^2}} e^{ frac{5}{y}} )
Answer» E.


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