- #1
sleventh
- 64
- 0
Hello All,
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 textbook 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
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 textbook 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