How Can You Solve a Non-Exact Differential Equation?

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Homework Help Overview

The discussion revolves around a non-exact differential equation presented by the original poster, who seeks guidance on potential approaches without requesting a complete solution. The subject area is differential equations, specifically focusing on methods for solving non-exact equations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the difficulty of the equation and the original poster's attempts to find an integrating factor. There are mentions of various techniques learned, including homogeneous equations and integrating factors, but uncertainty remains about their applicability to this specific problem.

Discussion Status

The conversation reflects a shared sense of challenge regarding the differential equation. Some participants express doubt about the existence of a simple solution, while others inquire about the theoretical background related to non-exact ordinary differential equations. There is no explicit consensus on the best approach, but multiple techniques are being considered.

Contextual Notes

Participants note that the equation was part of a previous exam, which adds pressure to understand the underlying theory and methods. There is also a mention of software (Maple) struggling to solve the equation, indicating its complexity.

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.
 
Last edited:
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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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