(adsbygoogle = window.adsbygoogle || []).push({}); Problem Statement

Find the general solution to ty'-4y=(t^6)*(e^t)

Solution Attempt

I added the 4y over and divided by t

y'=[(t^6)(e^t)+4y] / t

I am not sure where to go from here. I'm pretty sure that separation of variables wont work, because I don't think that I can separate the 4y from t.

Now I think I should have just divided through by t and then used integrating factors with [itex]\mu[/itex]=e^(-4ln|t|)=t^-4

Is this correct? Thanks for your help!

EDIT:I've found the solution... It did seem like using integrating factors worked the best. The answer is

y = [(te^t)-(e^t)+c] / (t^-4)

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# General Solution to Differential Equation?

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