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January 19, 2017
Posted by **Jake** on Monday, February 28, 2011 at 2:58am.

dy/dx= (x^2+y^2)/(2xy)

I know how to solve this type of problem, but I am struggling getting all of the x's and y's on different sides of the equation. Thank you for your help.

- Calculus AB -
**MathMate**, Monday, February 28, 2011 at 8:53amNote that the right-hand side is homogeneous (i.e. the total of exponents of x and y equals 2 for all terms), so a substitution of u=y/x will render the equation separable.

u=y/x

udx+xdu=dy

dy/dx = u+x*du/dx

...

Post if you have difficulties.