- #1

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t

^{2}y''-4ty+6y = 0 , y

_{1}(t)= t

^{2}

Attempt:

So I've done all the steps, up to the substitution, but I'm having problems with what appears to be a simple linear equation but I can't solve it: Any ways, with w = v' I arrive at:

w't

^{4}= 0

Everything else canceled out. But trying to get an integrating factor with this would lead me to 0.