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$dy/dx = e^{-x^2} - 2xy $

$y(0) = 1$

expressing in the form $y = f(x)$

I was thinking of seperation of variable and the integrating factor method but I don't think it will work.

What should I do this?

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    Since this is your third question, you've learned to use $\LaTeX$ I presume?2012-05-19
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    Seperation of variable - no. But have you learned how to solve (and recognize) first-order linear equations?2012-05-19

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