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x(0) = -2 y(0) = 2 x' = 4x – 5y y' = x – 2y (x(t diferansiyel denklem sisteminin çözüm vektörü X(t) ) aşağıdakilerden hangisidir? y(t) (5e¬3t + 3et e-3t + 3et (5e3t +3e¬t e 3t + 3e-t I. X(t) = П. X(t) = -5e-3t + 3et) X(t) = -e-3t + 3et (-5e3t + 3e¬t -e3t + 3e-t III. IV. X(t) = OIv

x(0) = -2 y(0) = 2 x' = 4x – 5y y' = x – 2y (x(t diferansiyel denklem sisteminin çözüm vektörü X(t) ) aşağıdakilerden hangisidir? y(t) (5e¬3t + 3et e-3t + 3et (5e3t +3e¬t e 3t + 3e-t I. X(t) = П. X(t) = -5e-3t + 3et) X(t) = -e-3t + 3et (-5e3t + 3e¬t -e3t + 3e-t III. IV. X(t) = OIv

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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which is the solution vector of differential equations

x' = 4x – 5y y' = x – 2y x(0) = -2 y(0) = 2 diferansiyel denklem sisteminin çözüm vektörü X(t) = () aşağıdakilerden hangisidir? y(t) I. (5e-3t + 3etY (5e³t + 3e¯ e3t + 3e-t X(t) = e-3t + 3et) II. X(t) = ( -5e-3t + 3et -5e3t + 3e- -e3t + 3e¬t III. X(t) = X(t) = (- IV. -e-3t + 3et A B OIV D O II
Transcribed Image Text:x' = 4x – 5y y' = x – 2y x(0) = -2 y(0) = 2 diferansiyel denklem sisteminin çözüm vektörü X(t) = () aşağıdakilerden hangisidir? y(t) I. (5e-3t + 3etY (5e³t + 3e¯ e3t + 3e-t X(t) = e-3t + 3et) II. X(t) = ( -5e-3t + 3et -5e3t + 3e- -e3t + 3e¬t III. X(t) = X(t) = (- IV. -e-3t + 3et A B OIV D O II
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