MATH 251 Midterm: MATH 251 PSU M251Exam 2(fa01)
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In order to obtain full credit for these problems, all work must be shown. Credit will not be given for an answer not supported by work. The use of calculators is not permitted in this examina- At the end of the examination, the booklet will be collected. Do not write in the box to the left. Solve the initial value problem. y + 4y = et, y(0) = 0, y (0) = 0. Math 251 -2nd exam- y y = cos(2t) + 3tet 4 sin(t) 3. (a) (3 pts) circle the correct answer. 0 e stf (t) dt: r , r , r (b) (3 pts) circle the correct term. Suppose a is a 2 2 matrix with repeated eigenvalue . Is ~x = c1e t ~v + c2te t ~v the general solution to ~x = a~x, where ~v is an eigenvector for : yes, no (c) (3 pts) true or false.
