In this problem you will solve the non-homogeneous differential equation [math] on the interval [math].

(1) Let [math] and [math] be arbitrary constants. The general solution of the related homogeneous differential equation [math] is the function [math] [math] .

(2) The particular solution [math] to the differential equation [math] is of the form [math]
where [math] and [math] .

(3) It follows that
[math] and [math] ;
thus [math] .

(4) Therefore, on the interval [math], the most general solution of the non-homogeneous differential equation [math]
is [math] [math] [math] .

Your overall score for this problem is