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

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

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

(3) It follows that
and ;
thus .

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

You can earn partial credit on this problem.