I am trying to solve a differential equation using an integrating factor and the term I am trying to differentiate is (3*t+2*e^t)*e^(-3t/2) .(adsbygoogle = window.adsbygoogle || []).push({});

I have tried simplifying it into these functions (terms, expressions):

[(3*t)*e^(-3t/2)+2*(e^t)(e^(-3t/2))

=3t(e^(-3t/2))+2(e^(-t/2))

=e^(-t/2)(3t(e^-t)+2)

I'm not sure if my work is correct, but the term at the top is right (I'm pretty sure), and I cannot figure out how to differentiate this term. Any suggestions for u-substitutions or other methods I could use to get this derivative would be a big help. Thank you.

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# Differential in a initial value problem

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