I have a Wronskian Question?(adsbygoogle = window.adsbygoogle || []).push({});

If the Wronskian W of f and g is t^2*e^t and if f(t)=t, find g(t).

I have tried setting up this problem:

tg'-t'g = t^2*e^t

tg'-g = t^2*e^t

Setting up the integrating factor, µ= e^∫-1 --> µ= e^-t

(e^-t)t*g' - (e^-t)*g = (e^-t)(t^2*e^t)

so preferably I would want to be able to set up the equation as (fg)' = (e^-t)(t^2*e^t)

but the derivative of (e^-t)t is not (e^-t).

The answer is supposed to be te^t+ct

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# I have a Wronskian Question?If the Wronskian W of f and g is t^2*e^t

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