Homogeneous EquationsA first-order differential equation
Chapter 9, Problem 5AAE(choose chapter or problem)
Problem 5AAE
Homogeneous Equations
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 = v/x.Then, y = vx 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 v by y/x
Solve the homogeneous equations. First put the equation in the form of a homogeneous equation.
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