for the equation, (a+1)ydx+(b+1)xdy=0,(adsbygoogle = window.adsbygoogle || []).push({});

i am wondering how to get (x^a)(y^b) as an integrating factor~

the following is my work:

(1/F)(dF/dx)=(a-b)/[(b+1)x]

=> F=cx^[(a-b)/(b+1)]

why doesn't that method work?

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# Integrating factor of (a+1)ydx + (b+1)xdy = 0

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