Question

can anyone help me solve this differential equation?
(x^2 - y^2)dx + (x^2 - xy)dy = 0

Answer 1

\[(x ^{2}-y ^{2})dx + (x ^{2}-xy)dy = 0\]

Answer 2

This a physics question?

Answer 3

no
differential equation math

Answer 4

Looks more like a solution with x's and y's mixed up.

What's your basis for splitting the dx and dy?

Answer 5

this one is homogenous equation i guess

Answer 6

This is a homogeneous equation of degree 2. Make the substitution x = y z, dx = z dy + y dz. to transform the differential equation to a variables separable equation.

Answer 7

Can you take it from there?

Answer 8

i'll try