How Can You Solve a Non-Exact Differential Equation?

AI Thread Summary
The discussion revolves around a challenging non-exact differential equation that the original poster is struggling to solve. They are seeking hints on finding an integrating factor or alternative techniques, expressing frustration that even software like Maple cannot solve it. Other participants mention trying various methods, including homogeneous and exact equations, but are also unable to find a solution. The conversation highlights the complexities involved in solving non-exact differential equations and the need for a deeper understanding of the underlying theory. Overall, the participants are looking for guidance on tackling this difficult problem.
Feynmanfan
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Tough differential equation

Hello!

I'm having real trouble with this differential equation. I don't want you to solve it for me. Just give me a hint what I should do.

(1+7x+6y+3x^2+4xy+5y^2)dx+2(1+2x+5y)dy=0

Obviously it is not exact. But I'm trying to find an integrating factor..
May be I should use another technique.
 
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It's a tough one isn't it?
 
I think it has no simple solution. Maple gave up after a while...
 
well, I am suposed to know how to solve it. THat was last year's exam question!
 
Do u at least know what u were supposed to to be doing??I mean the theory behind (non)exact ODE??

Daniel.
 
I don't understand your question. I've been trying all techniques I learned (homogeneous, isobaric equation, exact equations, integrating factor,...). But I can't solve it.
 
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