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## Main Question or Discussion Point

Theorem: Existence and Uniqueness

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??

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??