posted by Jake on .
Solve the differential equation:
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.
Note 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.
dy/dx = u+x*du/dx
Post if you have difficulties.