# Homogeneous vs inhomogeneous differential equations

Homogeneous vs inhomogeneous differential equations can be a useful tool for these scholars.

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## Math 20F Linear Algebra Lecture 5 1 Slide 1

A first order Differential Equation is Homogeneous when it can be in this form: dy dx = F ( y x ) We can solve it using Separation of Variables but first we create a new variable v = y x. v = y x which is also y = vx. And dy dx = d (vx) dx = v dx dx

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## Nonhomogeneous Differential Equations

The solution to the homogeneous equation is . By substitution you can verify that setting the function equal to the constant value -c/b will satisfy the non-homogeneous equation. It is the

## Non Homogeneous Differential Equation

Answer (1 of 2): Homogeneous solution of a differential equation is the algebraic solution stemming from the solution of each derivative of the said differential equation. The