MATH 222 Final: MATH 222 NJIT M222 FinalExam15

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

Document Summary

No calculators: (12) express the general solution of the system x. Then nd the solution with initial condition x(0) = (cid:18) 1. 2 1 (cid:19) x in terms of real-valued: (a) (6) sketch the odd and the even periodic extension of period 4 of f (x) = (cid:26) 0, 0 x < 1, 1, 1 x < 2, over the interval [ 6, 6]. (b) (8) sketch the graph of the function f (x) = (cid:26) 1 + x, 1 x < 0, You can assume that there are no negative eigenvalues: (12) use laplace transforms to nd the solution of the initial value problem y + 2y + 10y = (cid:26) 0 0 t < 2, t 2, How does the solution behave as t : find the general solution in terms of real-valued functions of (a) (6) y + 2y + = xy2(1 + x2) 1/2, (b) (6) t dy dt.