What is the solution of, ( frac{ ^2 u}{ x^2}=2xe^t, ) after applying – McqOptions

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1.	What is the solution of, ( frac{ ^2 u}{ x^2}=2xe^t, ) after applying method of separation of variables ((u(0,t)=t, frac{ u}{ x} (0,t)= e^t) )?
A.	(u= frac{x^3}{3} e^t+xe^t )
B.	(u= frac{x^3}{3} e^t+xe^t+t )
C.	(u= frac{x^3}{3} e^t+e^t+t )
D.	(u= frac{x^2}{2} e^t+xe^t+t )
Answer» C. (u= frac{x^3}{3} e^t+e^t+t )

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