find the general solution of the first order differential equation,t2y’– 2ty =3

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- Dec 27th 2010, 11:48 PMwinsomeFirst Order Differential Equation
find the general solution of the first order differential equation,

*t2**y’*– 2*ty =*3 - Dec 27th 2010, 11:50 PMChris L T521
- Dec 28th 2010, 12:20 AMwinsome
i got integrating factor of this equaiton is t^-2

is that is right ?

if yes then i m unable to get its final answer - Dec 28th 2010, 12:24 AMProve It
Yes it's right.

So multiply both sides by the integrating factor to get

$\displaystyle \displaystyle t^{-2}\frac{dy}{dt} - 2t^{-3}\,y = 3t^{-4}$

$\displaystyle \displaystyle \frac{d}{dt}(t^{-2}y) = 3t^{-4}$.

You should be able to go from here. - Dec 28th 2010, 12:31 AMwinsome
thanks

- Dec 29th 2010, 10:39 PMsfhdweb