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Use the Laplace transform to solve the given system of differential equations. dx dt dy = 2x dt x(0) = 0, y(0) = 4 x(t) = y(t) = = -x + y 4 -2t ge + fe 3 43 X X

Use the Laplace transform to solve the given system of differential equations. dx dt dy = 2x dt x(0) = 0, y(0) = 4 x(t) = y(t) = = -x + y 4 -2t ge + fe 3 43 X 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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Use the Laplace transform to solve the given system of differential equations. dx dt dy = 2x dt x(0) = 0, y(0) = 4 8 -2t x(t) e² + ze=21 3 || = y(t) = = -x + y || 43 e 4 X
Transcribed Image Text:Use the Laplace transform to solve the given system of differential equations. dx dt dy = 2x dt x(0) = 0, y(0) = 4 8 -2t x(t) e² + ze=21 3 || = y(t) = = -x + y || 43 e 4 X
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