Homogeneous Linear Differential Assignment Help

Assignment Help: >> Calculus - Homogeneous Linear Differential

Homogeneous Linear Differential:

A differential equation of the form

1879_Homogeneous Linear Differential.png

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

2230_Homogeneous Linear Differential1.png

1043_Homogeneous Linear Differential2.png

In common, 

2466_Homogeneous Linear Differential3.png

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

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