In the next three questions, we will solve a differential equation with all three methods: Undetermined coefficient, variation of parameter, and reduction of order. You do not need to repeat the homogeneous - just do it once in the first question. 1. Solve y" y'= xe* using undetermined coefficient. Show all your work. The characteristic equation will be r²- r = 0 2. Solve y" y' = xe* using variation of parameter. DO NOT use any formula. You must do this the way we did in the class. Make sure to watch the recoded video if you are not sure. If you use any formula, I will take off points. 3. Solve y" y' = xe* using reduction of order. DO NOT use any formula. You must do this the way we did in the class. Make sure to watch the recoded video if you are not sure. If you use any formula, I will take off points.