MATH 222 Midterm: MATH 222 NJIT M222 Exam3S15

• School: New Jersey Institute of Technology
• Department: Mathematical Sciences
• Course: MATH 222
• Professor: All

Document Summary

3 t. (b) (6 points) find the inverse laplace transform of f (s) = s 2 (c) (6 points) find the inverse laplace transform in terms of a convolution for. Sketch the solution for 0 t < 2 . Then nd the value of a such that y = 0 for all t > 3 (note that sin(t 3 . 2 ) = cos t) y + 4y + 5y = a (t . 2 y(0) = 1, y (0) = 2: (a) (8 points) find the eigenvalues and eigenvectors of the matrix (cid:18) 1 1. 2 (b) (10 points) find the general solution and the solution of the initial value problem for the ode system x. 4 2 (cid:19) x, x(0) = (cid:18) 3.