so i'm in my second week of my first differential equations class, and i can't seem to get this problem.(adsbygoogle = window.adsbygoogle || []).push({});

Show that 5x^{2}y^{2}- 2x^{3}y^{2}= 1 is an implicit solution of the differential equation x(dy/dx) + y = x^{3}y^{3}on the interval 0 < x < 5/2

for dy/dx, i got (3xy-5y)/(5x-4x^{2}), i'm pretty sure it's right, but if it's not then it might be why i can't quite get this. i also solved for y explicitly, but then i realized i could just factor it out.

well that's what i did, and all i end up with is just a big polynomial... i'm sure i'm doing it wrong. help please?

edit: alright alright i just saw the sticky... truth be told i just google differential equations forum and signed up real quick to post this, so i was in a hurry. sorry i posted this is the wrong forum :(

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# Help with an easy ODE

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