A first-order differential equation of the form

is called homogeneous. It can be transformed into an equation whose variables are separable by defining the new variable y = y/x. Then, y = νx and

Substitution into the original differential equation and collecting terms with like variables then gives the separable equation

After solving this separable equation, the solution of the original equation is obtained when we replace ν by y/x.

Solve the homogeneous equations. First put theequation in the form of a homogeneous equation.

Transcribed Image Text:

dy dx = F X