MATH 272 Final: MATH 272 Amherst S18M272 2802 29PfluegerFinal

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 272
• Professor: All

Document Summary

Read this first: please read each question carefully. Put a check mark in the box if that term accurately describes the di erential equation. [10] second-order? linear? separable? homogeneous? (a. k. a. unforced or undriven)? (a) y = y3 (b) y x = 4x2 + 8 (c) xy = y (d) yy = 3x + 1 (e) 2y + 4x2y . Suppose a second-order, linear, constant-coe cient ode of the form. Solve the ivp using an integrating factor. (do not leave any integrals or constants in your nal solution. ) [12] (a) locate the bifurcation value(s). dx dt. X2(cid:1) (x 2) (b) draw the phase lines for values of slightly smaller than, slightly larger than, and at the bifurcation value(s). = 2x + 2y (a) find the general solution. Consider the ivp but do not solve it. y = 6y1/5, y(0) = 0. 3. If not, state why another version of our existence and uniqueness theorem cannot be applied.