1. Use substitution x = e^t to transfer equation into one with constant coefficients and solve:(adsbygoogle = window.adsbygoogle || []).push({});

x^2 y'' -3xy' + 13y = 4 + 3x

My work:

Okay, we have

e^2t y'' - 3e^t y' + 13y = 4 + 3e^t.

Now I am absolutely stuck. No idea how to solve it. Help!

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# DE I don't get

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