Theorem: Existence and Uniqueness(adsbygoogle = window.adsbygoogle || []).push({});

Let p(t), q(t), and g(t) be continuous on an interval I, then the differential equation

[tex] y'' + p(t)y' + q(t)y = g(t) \ \ \ \ , y(t_0) = b_0 \ \ \ , y'(t_0) = b_1 [/tex]

has a unique solution defined for all t in I.

I have no idea where to start??

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

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

# How do i prove this theorem?

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