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Differential Question help!

Q. solve the differential equation (x+1)y+x(dy/dx)=x-x^2

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I guess it's the type of question which I need use Integrating factor method so I divide all the term with (x+1) so that I can get a equation with a require format.

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

Thus
I found its integrating factor e^[x-ln(x+1)] = (e^x)/(x+1)

But as you see I'm not able to solve the eqaution.

Could someone tell me the proper way?

(edited 11 years ago)

Reply 1

oh_1993

You have mixed up the y and dy/dx terms.

For integrating factor, it must be in the form dy/dx +P(x)y = Q(x) where int. factor = e^(integral P(x)dx)

divide by x instead and see where you get.