The Cauchy homogeneous linear differential equation is given by(adsbygoogle = window.adsbygoogle || []).push({});

[itex]x^{n}\frac{d^{n}y}{dx^{n}} +k_{1} x^{n-1}\frac{d^{n-1}y}{dx^{n-1}} +...+k_{n}y=X [/itex]

where X is a function of x and [itex] k_{1},k_{2}...,k_{n}[/itex] are constants.

I thought for this equation to be homogeneous the right side should be 0. (i.e.) X=0.

But if X is a function of x then how can this be homogeneous?

Thanks a lot :)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Cauchy's homogeneous diff eqn

**Physics Forums | Science Articles, Homework Help, Discussion**