# Help me please.... Mixed Partials

• Sep 8th 2009, 04:42 PM
tiga killa
Use the "mixed partials" check to see if the following differential equation is exact

(-1x^2 + 2y)dx + (2x - 3y^1)dy = 0

My(x,y) = ?
Nx(x,y) = ?
F(x,y) = ?
• Sep 8th 2009, 05:00 PM
luobo
Quote:

Originally Posted by tiga killa
Use the "mixed partials" check to see if the following differential equation is exact

(-1x^2 + 2y)dx + (2x - 3y^1)dy = 0

My(x,y) = ?
Nx(x,y) = ?
F(x,y) = ?

May not be what you want, but interesting to solve
$-x^2 dx+ (2ydx+2xdy) -3ydy= 0$
$\Rightarrow -x^2 dx+ 2d(xy) -3ydy= 0$
$\Rightarrow -\frac{x^3}{3}+2xy-\frac{3y^2}{2}=C$
• Sep 8th 2009, 05:05 PM
tiga killa
what is My(x,y)??
• Sep 18th 2009, 08:02 AM
mr fantastic
Quote:

Originally Posted by tiga killa
what is My(x,y)??

Go back to your class notes or textbook and refer to the definitions that you will find there.