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Solve each of the following initial value problems: (a) y_ 1 = y1 + 2y2 y_ 2 = 2y1 y2

ISBN: 9780136009290 436

Solution for problem 2 Chapter 6.2

Linear Algebra with Applications | 8th Edition

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Problem 2

Solve each of the following initial value problems: (a) y_ 1 = y1 + 2y2 y_ 2 = 2y1 y2 y1(0) = 3, y2(0) = 1 (b) y_ 1 = y1 2y2 y_ 2 = 2y1 + y2 y1(0) = 1, y2(0) = 2 (c) y_ 1 = 2y1 6y3 y_ 2 = y1 3y3 y_ 3 = y2 2y3 y1(0) = y2(0) = y3(0) = 2 (d) y_ 1 = y1 + 2y3 y_ 2 = y2 y3 y_ 3 = y1 + y2 + y3 y1(0) = y2(0) = 1, y3(0) = 4

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Solve each of the following initial value problems: (a) y_ 1 = y1 + 2y2 y_ 2 = 2y1 y2

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