Prove that the substitution transforms a homogeneous equation into a first-order, separable equation for .
Proof. Let
Since
is homogeneous, we have
Letting we then have
So,
Hence, this equation is separable
Prove that the substitution transforms a homogeneous equation into a first-order, separable equation for .
Proof. Let
Since
is homogeneous, we have
Letting we then have
So,
Hence, this equation is separable