Introduction to a Differential Equation At 26 26 Differential Equations are, well, equations that involve differentials (or derivatives). Here is an example of one: y" - 5y' - 6y = 0 Generally, these equations represent a relationship that some unknown function y has with its derivatives, and we typically are interested in solving for what y is. We will not be doing that here, as that's well beyond this course. Instead, we are going to verify that y = Ce + Debt, where C, D are real numbers is a solution to the differential equation above. Here's how to proceed: a. Let y = Cera + Debt . Find y' and y", remembering that C, D are unknown constants, not variables. b. Show that y, 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 = Ce + Debt not a solution to the differential equation. Explain your thought process