My question can be most simply put as how can we guarantee that the only solutions of a homogenous linear differential equation are of the form ce^at?(adsbygoogle = window.adsbygoogle || []).push({});

or for that matter that the particular solution of a function is given by u(x)f(x)

in the variation of parameters method.

how can we guarentee that there aren't other functions that also meet the requirements of the differential equation?

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

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!

# Assumptions of solution form

Loading...

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