(Solved): Use the method for solving homogeneous equations to solve the following differential equation \[ 5\ ...

Use the method for solving homogeneous equations to solve the following differential equation \[ 5\left(x^{2}+y^{2}\right) d x+6 x y d y=0 \] Ignoring lost solutions, if any, an implicit solution in the form \( F(x, y)=C \) is \( =C \), where \( C \) is an arbitrary constant (Type an expression using \( x \) and \( y \) as the variables.)