(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

x dy/dx -y = 2x^2 y, y(1)=1

2. Relevant equations

3. The attempt at a solution

x dy/dx = y(2x^2 + 1)

int 1/y dy = int (2x^2+1)/x dx

int 1/y dy = int 2x dx + int 1/x dx

ln y = x^2 + lnx + c

y = exp(x^2 + c) + x and in this case initial condition doesn't work.

please help. I can't find what went wrong.

The answer turns out to be y = x exp(x^2-1).

help~~

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# Homework Help: Something wrong? can't find my error.

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