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Mathematics 14 Online
OpenStudy (anonymous):

Dont know what method to use to solve this differential equation?

OpenStudy (anonymous):

\[\frac{ dy }{ dt } + 2ty= e ^{-t ^{2}}\]

ganeshie8 (ganeshie8):

Multiply \(e^{t^2}\) through out and see

OpenStudy (anonymous):

That would make the right side 1 correct?

ganeshie8 (ganeshie8):

that is a coincidence, we're more concerned about the left hand side

ganeshie8 (ganeshie8):

Can you write out the eqn after multiplying out

OpenStudy (anonymous):

\[\frac{ dy }{ dt }e ^{t ^{2}}+ 2tye ^{t ^{2}}=1\]

OpenStudy (anonymous):

Separable method doesn't work still though.

ganeshie8 (ganeshie8):

How good are you with product rule of differentiation ?

ganeshie8 (ganeshie8):

\((uv)' = u'v + uv'\)

ganeshie8 (ganeshie8):

still remember that ?

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