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# Solved: Show that if a11, a12, a21, and a22 are constants with a12 and a21 not both

ISBN: 9780470458327 393

## Solution for problem 14 Chapter 7.1

Elementary Differential Equations | 10th Edition

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Elementary Differential Equations | 10th Edition

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Problem 14

Show that if a11, a12, a21, and a22 are constants with a12 and a21 not both zero, and if thefunctions g1 and g2 are differentiable, then the initial value problemx1 = a11x1 + a12x2 + g1(t), x1(0) = x01x2 = a21x1 + a22x2 + g2(t), x2(0) = x02can be transformed into an initial value problem for a single second order equation. Canthe same procedure be carried out if a11, ... , a22 are functions of t?

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ISLAMICWORLD Basics      Al-Khwarizimi  o o o   o o o o   ▯▯ + ▯▯ + ▯ = 0 2 o ▯ + ▯▯ = ▯ 2  ▯(▯ 2) + ▯ − (▯ 2)   ▯ + 6▯ = 4 (▯ + 3)2= 4 + 9 (▯ + 3) = 13 ▯ + 3 = √13 ▯ = √ 13 − 3 ▯ ▯...

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