1.

Solve the differential equation (5 frac{ u}{ x}+3 frac{ u}{ y}=2u ) using the method of separation of variables if (u(0,y) = 9e^{-5y}. )

A. (9e^{ frac{17}{5} x} e^{-5y} )
B. (9e^{ frac{13}{5} x} e^{-5y} )
C. (9e^{ frac{-17}{5} x} e^{-5y} )
D. (9e^{ frac{-13}{5} x} e^{-5y} )
Answer» B. (9e^{ frac{13}{5} x} e^{-5y} )


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