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Calculus and Beyond Homework Help
A non-exact nonlinear first ODE to solve
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[QUOTE="Mark44, post: 5498469, member: 147785"] The above should be ##M = 3x^2y^4 + 2xy## You have a mistake above. If ##M = 3x^2y^4 + 2xy## then ##M_y = 12x^2y^3 + 2x## Since M[SUB]y[/SUB] ≠ N[SUB]x[/SUB], that's enough to show that the equation is not exact. I taught diff. equations a number of times, but this isn't a trick that I remember. Where does xM - yN come from? I'm not following this at all. If you can find an integrating factor, you multiply both sides of the original diff. equation by it. If it really is an integrating factor, then the new equation will be exact, and you can get the solution. [/QUOTE]
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A non-exact nonlinear first ODE to solve
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