# Homework 1, by Jan 28th Instruction: 1.W rite your section number and name clearly in upper cases Otherwise homework will not be graded. 2. Your homework must be collected before the class starts by your section numbers. In problems 1 through 4 determine the order; also state whether the equation is linear or nonlinear. ind dy dy n 2. omosenous near In problems 5 through 7 verify that each given function is a solution of the equation. y=3t + t2 8. For an equation y"-y,-Gy 0 show that yty2 and Cyh are also solutions for any constant C where yı =c" and y2 = e-a For the following equations find the general solution or unique solution if an initial con- dition is given. No need to solve your solution for y. 9. 10. dr 1+2 y(0) = 1. dy 11.ez+2y dz 12. r cos z dr -ye dy-0 dI 1 dr 5 13.z 2r +

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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