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**AmberLamps** I have an integrating factor of $\displaystyle e^(3lnt)$and have simplified it to $\displaystyle e^{t^3}$ near the end of the problem we are required to integrate $\displaystyle -3t^3 dt$ which comes to $\displaystyle -3/4t^4$ right?

Now my friend has kept the integrating factor in the form $\displaystyle e^(3lnt)$ throughout the problem and thus has to integrate $\displaystyle -3e^(3lnt) dt$ at the end of the problem. She, however, thinks that this becomes $\displaystyle -te^(3lnt)$.

Obviosuly one of us is wrong; but who?