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. \(u=\frac{x^3}{3} e^t+e^t+t\) | |