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13. x" = -2x + 2y, y" = 2x - 5y; x(0) = 2, x ' (0) = 3, y(0) = 1, y' (0) = 2

13. x" = -2x + 2y, y" = 2x - 5y; x(0) = 2, x ' (0) = 3, y(0) = 1, y' (0) = 2

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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Use the Laplace Transform to solve the initial value problem.
13. х" %3-2х + 2у, у " %3D 2х - 5у; х(0) - 2, х (0) %3 3, У(0) 3 1, у (0) %3D 2 14. х " + у--101 sin(10t); у " + x%-D 101 sin(10t) ; x(0) - 0, х' (0) — 6, у(0) — 8, у' (0) - -6
Transcribed Image Text:13. х" %3-2х + 2у, у " %3D 2х - 5у; х(0) - 2, х (0) %3 3, У(0) 3 1, у (0) %3D 2 14. х " + у--101 sin(10t); у " + x%-D 101 sin(10t) ; x(0) - 0, х' (0) — 6, у(0) — 8, у' (0) - -6
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