1.

Find the solution of ( frac{ u}{ x}=36 frac{ u}{ t}+10u ) if ( frac{ u}{ x} (t=0)=3e^{-2x} ) using the method of separation of variables.

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


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