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2) Given the following differential equations with output x and input y, linearize the equations about xo = 0. a) x + x² = 2y b) x+e™* = y² 3) Given the following differential equations with output x and input y, linearize the equations about the given yo. a) x+2x² + 2x=y (y₁ =12) 4 b) x+2x+² = 4√√y (% = 4) X +

2) Given the following differential equations with output x and input y, linearize the equations about xo = 0. a) x + x² = 2y b) x+e™* = y² 3) Given the following differential equations with output x and input y, linearize the equations about the given yo. a) x+2x² + 2x=y (y₁ =12) 4 b) x+2x+² = 4√√y (% = 4) X +

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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2) Given the following differential equations with output x and input y, linearize the equations about xo = 0. a) x + x² = 2y b) x+e™* = y² 3) Given the following differential equations with output x and input y, linearize the equations about the given yo. a) x+2x² + 2x=y (y₁ =12) 4 b) x+2x+² = 4√y (v₁ = 4) X +
Transcribed Image Text:2) Given the following differential equations with output x and input y, linearize the equations about xo = 0. a) x + x² = 2y b) x+e™* = y² 3) Given the following differential equations with output x and input y, linearize the equations about the given yo. a) x+2x² + 2x=y (y₁ =12) 4 b) x+2x+² = 4√y (v₁ = 4) X +
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