Exact differential equations. Chris Tisdell UNSW Sydney

[MrPEDOCTOR]

personal website for compilation video. its great idea.

[formchoi2190]

professor, u should create ur own website. thanks for the excellent vid!

[jhamien920]

Thanks a lot. You are really helping me. Superrrr...

[KharilManan]

Prof, post a video if the equation is not exact then how to solve the following.

Thanks!

[safiyenurr]

Thx a lot..

[Xinthose]

awesome, thank you

[clouisjean]

How could anyone possibly dislike this? Am I missing something?

[92310CAMILLE]

thank you God

[vcas30]

thx

[TheJerryPup]

Thank you Chris, you were a big help for my test.

[pemulung]

I am graduate student in material and need to refresh my calculus and mathematic. Your video lectures are amazing. Waiting for your next video especially in engineering mathematic

[RAMssassin]

Dr Tisdell, What should we do if the function is in the form of an exact ODE but it doesn't pass the test? How can we use "substitution" to make it exact?

[abaurre3]

@RAMssassin

You can try and find an integrating factor for the equation. I don't remember the details (I should hhaha) but I think it's in the form of : a(x)=exp( int( p(x),x ) ), where p(x) is a function that equals to: p(x)=(dM/dy - dN/dx) / (N)

Once the equation is multiplied by this integrating factor, it should turn the equation into an exact one.

[jsm666]

Dr Tisdell, I have noted a small error. At 21:36 you have rendered the final answer to the second problem as y.x^2 + x^3.y^3 + y = C, yet the second term from the integrations of M and N is x^3.y^2

I'm sure it's just a transcription error, but I thought I should bring it to your attention.

[DrChrisTisdell]

You're right, jsm! I just wrote at 3 instead of a 2. Thanks very much for your correction. I've inserted an annotation!

Best wishes

Chris