MATH1013 Midterm: MATH 1013 UNB Exam 1013 00
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Partial credit will be given only if su cient progress towards an answer is shown. Spring 2017: (10 points) i was fortunate to have you this semester as a student. Now, write: my worth as a person is not determined by the grade on a test! I know more about these topics now than i did fourteen weeks ago. Spring 2017 (b) (10 points) find the orthogonal trajectories to the family of curves y4 x2y2 = c as a bernoulli equation. Write your answer in the form x2 2y2 by solving dy dx xy y2 = f (x). Write your answer in the form f (x, y) = c. Spring 2017: (15 points) solve the initial value problem. 2y d2y dx(cid:19)2 dx2 = (cid:18) dy with initial conditions y(0) = 36 y (0) = 12. Spring 2017: (15 points) find the general solution to the following di erential equation (d5 + 7d4 + 10d3)(d2 + 6d + 10)2y = 0.
