dx = 2x + y dt K1 = K2 = dy -x dt ( = c1 + C2 et O A O B x = c ()e* + cz (",) e* X = C1 O D ||

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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Given the correct eigenvalues above and the eigenvectors below, what is the general solution of the system:

dx
2х + y
K1 =
dt
K2
dy
dt
x = ()e' +c+ G)e*
= c1
O A
O B
teʻ + (^) e*]
X = C1
et
+ C2
X = c1
O c
O D
Transcribed Image Text:dx 2х + y K1 = dt K2 dy dt x = ()e' +c+ G)e* = c1 O A O B teʻ + (^) e*] X = C1 et + C2 X = c1 O c O D
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