1. Consider the linear system i1 = -2px1 + qx2 i2 -qx1 – pgx2 where p and q are unspecified parameters. How should p and q be chosen to ensure that the solutions of this system have the form X1(t) + be-2t = ae X2(t) = ce-t + de-2t for any choice of initial conditions? Is your answer unique? Explain.
1. Consider the linear system i1 = -2px1 + qx2 i2 -qx1 – pgx2 where p and q are unspecified parameters. How should p and q be chosen to ensure that the solutions of this system have the form X1(t) + be-2t = ae X2(t) = ce-t + de-2t for any choice of initial conditions? Is your answer unique? Explain.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 15CT
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