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b. y" +z+y=0; y(0) = 0, y'(0) = 0, z(0) = 1 z' + y' = 0

b. y" +z+y=0; y(0) = 0, y'(0) = 0, z(0) = 1 z' + y' = 0

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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Solve the following systems of differential equations.

b. y" +z+y=0; z'+y' = 0 y(0) = 0, y'(0) = 0, z(0) = 1 c. z" + y = cos x; z(0) = -1, z'(0) = -1, y(0) = 1, y'(0) = 0 y" -z = sinx x(0) = 8, y(0) = 3 d. x' = 2x - 3y; y' = y = 2x
Transcribed Image Text:b. y" +z+y=0; z'+y' = 0 y(0) = 0, y'(0) = 0, z(0) = 1 c. z" + y = cos x; z(0) = -1, z'(0) = -1, y(0) = 1, y'(0) = 0 y" -z = sinx x(0) = 8, y(0) = 3 d. x' = 2x - 3y; y' = y = 2x
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