Homogeneous Linear Differential:
A differential equation of the form

where a1, a2, .... , an are constants and X is a function of x, is known as a homogeneous linear differential equation.
To compute (1), we replace
Z = log x so that x = e2
We have


In common,

If we replace these values in (1), then (1) reduces to a linear differential equation with constant coefficients.