MATH 2214 Final: Math 2214 Final Exam Spring 2018
Document Summary
Math 2214, spring 2018, form a: the functions y1(t) = et2 and y2(t) = et2+t are both solutions of the di erential equation. Then we can conclude that the following are also solutions except y y (y )2 = 2y2. + et2+t. (a) 2et2 (b) et2 (c) e(t+1)2 (d) et2+3t+2: the general solution of the system y = ay, where. 0(cid:19) , is (a) c1et (cid:18) 1 (b) c1et (cid:18) 1 (c) c1et (cid:18) 1 (d) c1et (cid:18) t. 0(cid:19): the interval of existence for the solution of the initial value problem y = y2, y(3) = 1 is (a) ( , ). (b) (3, ). (c) ( , 4). (d) (0, ). 1: you solve the initial value problem y = y2 + 2t, y(1) = 2, using the. Then the approximation you nd for y(1. 2) is (a) 3. 496. (b) 3. 476. (c) 2. 6. (d) 2. 996: a particular solution for the equation y have the form.
