Differential Equations are, well, equationsthat involve differentials (or derivatives). Here is an example ofone: y" -l- 9y I 0 Generally, these equations represent a relationship that some unknown functiony has with its derivatives, and we typically are interested in solving for what :9 is. We will not be doing that here, as that's well beyond this course. Instead, we are going to verify that y=Csin (3x) +Dcos (3x), where C, D are real numbers is a solution to the differential equation above. Here's how to proceed: a. Let y : C sin(3ac) + D cos(3;c). Findy remembering that C, D are unknown constants, not variables. b. Show that y and y" satisfy the equation at the top (use substitution). Explain your process for the above steps. Then, I want you to analyze your work for part b. What you should pay close attention to is how the constants C, D impacted (or didn't) your work. Determine whether there are any values of C, D that would make y : C sin(333) + D (303(313) nota solution to the differential equation. Explain your thought process