Consider the differential equation y" = e² + zy' where y is considered to be a function of a. In this exercise, you will determine whether or not y = eT + c is a solution to the differential equation for any constant c. (a) First substitute the above expression for y into the left side of the differential equation. In other words, compute y''. (b) Next substitute the above expression for y into the right side of the differential equation. In other words, compute e + xy'. (c) Based on your answers to (a) and (b), can we say that y = e is a solution to the differential equation? O No O Yes

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