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Consider the linear system (a) Show that the function dY dt dY dt =(1-¹)× 3 = (-4 Y(t) = is a solution to the differential equation. (b) Solve the initial-value problem Y. te²t - (t+1)e²t -(1 3) 3 ( در Y, Y(0) - (2) =

Consider the linear system (a) Show that the function dY dt dY dt =(1-¹)× 3 = (-4 Y(t) = is a solution to the differential equation. (b) Solve the initial-value problem Y. te²t - (t+1)e²t -(1 3) 3 ( در Y, 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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25. Consider the linear system (a) Show that the function dY dY dt dt = (13) x. Y. -(- Y(t) = - is a solution to the differential equation. (b) Solve the initial-value problem te2t -(t+1)e2t 27) = - (1-3) x. -(2) Y, Y(0) =
Transcribed Image Text:25. Consider the linear system (a) Show that the function dY dY dt dt = (13) x. Y. -(- Y(t) = - is a solution to the differential equation. (b) Solve the initial-value problem te2t -(t+1)e2t 27) = - (1-3) x. -(2) Y, Y(0) =
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