2. 30 points + 10 (abc) are the last 3 nonzero digits of your student ID. Let r tai+br =ed, *(0) = =(0)=0 Solve this equation using each technique we discussed in class (a) 10 Characteristic polynomial and Undetermined Coefficients (We called it An- nihilators and Linear Reduction of Order) (b) 10 Laplace Transforms directly using algebraic methods (Partial Fraction De- composition, completing the square, etc.). Laplace Table are in Section 1. (c) 10 Laplace Transforms: Impulse Response with Convolution