MATH 215 Study Guide - Midterm Guide: Massachusetts Route 9, Partial Derivative, Talking Lifestyle 1278
Document Summary
Be sure this exam has 14 pages including the cover. Rules governing formal examinations: each candidate must be prepared to produce, upon request, a. Page 2 of 14: solve the initial value problem (3xy + y2) + (x2 + xy)y = 0, y(1) = 2. (3 points) (a) Verify that (x) = x is an integrating factor, that is, x(3xy + y2)dx + x(x2 + xy)dy = 0 is exact. (5 points) (b) Page 3 of 14: a second order chemical reaction can be modeled by the equation dy dx. = (y p)(y q), where , p and q are constants (4 points) (a) Assume that > 0 and p > q > 0. Find equilibrium points and classify stabilities of these equilibrium points. (4 points) (b) Assume that = 1, p = 0, q = 1 and y(0) = 1, solve the initial value problem and determine the limiting value of y(x) as x .
