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Ordenary differential equation

  • Thread starter hhegab
  • Start date
  • #1
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Hi,
I have the following ODE, which I could not solve,
(7x^3+3x^2y+4y)dx+(4x^3+x+5y)dy=0.
I have tried to use the integration factor technique, but I could not find one.
It can be put in the form:
M dx +N dy=0, where M=7x^3+3x^2y+4y, and N=4x^3+x+5y.
Can you help me? And How can it be done on mathematica? (or MuPAD)

hhegab
 

Answers and Replies

  • #2
Tom Mattson
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I don't see any way to make this equation exact either. Were you given any initial conditions, or are you to find a general solution? The reason I ask is that, if you were, we may be able to use an integral transform.

Sorry, but I don't know how to use Mathematica.
 
  • #3
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Dear Tom,
This problem appears in my book! I have struggled with it for 2 months (and I shouldn't have done).
Well, I guess I will stop now.
PS.
It is said that it has an integration factor !!! I have done my best to find it, but it was not there.

hhegab
 
  • #4
Tom Mattson
Staff Emeritus
Science Advisor
Gold Member
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2 months?! Egad!

I will wrestle with this some more over the weekend. Take a break! :wink:
 
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