Differential Equation: (2y^2 + 5x)dx + 3xy dy = 0

[uga75]

I have this problem i cant seem to solve. I have no clue where to start.
(2y^2+5x)dx+3xydy=0 solve. thanks

 

[DrMike]

I have this problem i cant seem to solve. I have no clue where to start.
(2y^2+5x)dx+3xydy=0 solve. thanks

Look up your notes on "Exact" differential equations. Test if this equation is exact. If it is, apply the methods given in the notes.

If it is not exact..... are you very certain you keyed in the problem here as it was given in the question? Or did you do some simplification first? Then... test if the original equation was exact, or post it here...

 

[DrMike]

My guess is that your original DE was

\(\displaystyle (2x^{1/3}y^2+5x^{4/3})\, dx+3x^{4/3}y\, dy=0\)

Is that correct?