MATH 024 Study Guide - Midterm Guide: Phase Portrait, Eigenvalues And Eigenvectors

• School: UC Merced
• Department: Mathematics
• Course: MATH 024
• Professor: all

Document Summary

Instructions: answer all questions, without the use of notes, books or calculators. Partial credit will be awarded for correct work, unless otherwise speci ed. The total number of points is 50: (12 pts) find the general solution to x . 2x + 10x = 2e t : (8 pts) a system of two equations of two unknown functions has the origin as an equilib- rium point. 4 1: (8 pts) find the solution of the initial value problem given below for which x1(0) = 10 and x2(0) = 0, using the fact that the eigenvalues of the corresponding matrix are 1 = 2 and. = 6x1 + 3x2: (10 pts) answer the following questions in no more than two lines of text (much less is actually needed if you are right on point). What is this phenomenon called: in the method of variation of parameters, we guess that the particular solution is yp(t) = v1y1 + v2y2.