Hi all.(adsbygoogle = window.adsbygoogle || []).push({});

Can the general solution of a linear ordinary differential equation be expressed in terms of its initial conditions?

It seems that I have seem this kind of representation.

It makes "some sense" to me but I hope to know if there is some "proof" or explanation of why it can be?

To be specific, for a n-th order ODE,

the solution is something like

y = y(xo)(something) + y'(xo)(something) + ... + y(n-1)(xo)(something)...

why?

**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!

# General solution of a linear ordinary differential equation

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