- #1

sleventh

- 64

- 0

Given the equation (2/y + y/x)dx + (3y/x + 2)dy

I am first asked to show the equation is not exact. To do this I showed the mixed partials were not equal i.e.:

(2/y + y/x)dy != (3y/x + 2)dx

I am then asked to find an integrating factor and show the potential function is given by

f = x^2 + y^3 + xy^2

I have consulted my ODE's text book but can not see how to apply the methods there to a multi-variable problem. I also haven't had much luck online.

Thank you for your help