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y(3) +2y"-y' - 2y=0; y(0) = 1, y'(0) = 2, y''(0) = 0; -2x Y₁ = ex, y₂ = ex, y3 = e e particular solution is y(x) = . G

y(3) +2y"-y' - 2y=0; y(0) = 1, y'(0) = 2, y''(0) = 0; -2x Y₁ = ex, y₂ = ex, y3 = e e particular solution is y(x) = . G

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y (3) +2y" -y' - 2y=0; y(0) = 1, y'(0) = 2, y''(0) = 0; Y₁ = ex, y₂ = ex, ^, Y3 = e The particular solution is y(x) = .
Transcribed Image Text:A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y (3) +2y" -y' - 2y=0; y(0) = 1, y'(0) = 2, y''(0) = 0; Y₁ = ex, y₂ = ex, ^, Y3 = e The particular solution is y(x) = .
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