Question

difference between homogeneous and non homogeneous

Answer 1

Explanation:

Homogeneous differential equations involve only derivatives of y and terms involving y, and they’re set to 0.

Nonhomogeneous differential equations are the same as homogeneous differential equations, except they can have terms involving only x (and constants) on the right side.

You also can write nonhomogeneous differential equations in this format: y” + p(x)y‘ + q(x)y = g(x).

Answer 2

$\huge\underline\mathfrak\color{blue}Answer$

A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives. A linear differential equation that fails this condition is called non -homogeneous.