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1. Write all the calculations needed to find the general solution X(t) of the differential equation x' = Ax, -[-2 1 A = 2]

1. Write all the calculations needed to find the general solution X(t) of the differential equation x' = Ax, -[-2 1 A = 2]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Write all the calculations needed to find the general solution X(t) of the differential equation 1-[2 2] 2. Sketch a phase portrait of solutions to the differential equation above. o Label your axes x' = Ax, A= o Indicate the direction of increasing time for all solutions drawn o Make sure your phase portrait captures all qualitatively different solutions
Transcribed Image Text:1. Write all the calculations needed to find the general solution X(t) of the differential equation 1-[2 2] 2. Sketch a phase portrait of solutions to the differential equation above. o Label your axes x' = Ax, A= o Indicate the direction of increasing time for all solutions drawn o Make sure your phase portrait captures all qualitatively different solutions
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