- #1
whatisreality
- 290
- 1
Homework Statement
Solve dy/dx = y/x + tan(y/x)
Homework Equations
The Attempt at a Solution
Not separable, as far as I can tell. It's not homogeneous, since for the tan term f(λx,λy) = tan(λy/λx) = tan(y/x) ≠ λtan(y/x). It's also not of the form dy/dx + P(x)y = Q(x), because I don't think Q(x) should involve y. And that completes the list of methods I know, none of which I can use! How do you solve this?! Is there a substitution I should make?