MAT244H1 Study Guide - Final Guide: Integral Equation, Stationary Point, Phase Portrait

• School: UTSG
• Department: Mathematics
• Course: MAT244H1
• Professor: All

Document Summary

Number of test pages: (including this cover sheet) Page 2 of 16: (5 points) euler"s method. For the initial value problem y(cid:48) = 2t + y3, y(0) = 1, use euler"s method with step size h = 0. 1 to approximate y(0. 3). Page 3 of 16: (5 points) linear equations. Solve the initial value problem y(cid:48) + y cot t = 2t csc t, (cid:16) (cid:17) = 1 and state the domain of the solution. Page 4 of 16: (6 points) separable equations. For y0 (cid:54)= 0, solve the initial value problem y(cid:48) = y2, y(0) = y0, and state the domain of the solution. Page 5 of 16: (6 points) exact equations. 2t (2 ln(t2 + 1))y(cid:48) = 0, y(0) = 1. 2 and state the domain of the solution. Page 7 of 16: (7 points) variation of parameters. Solve the initial value problem y(cid:48)(cid:48) y(cid:48) 6y = 20e 2t, y(0) = 0, y(cid:48)(0) = 1.