Find the general solution of the following system of equations. [2] + [7] *-+] Int+ [2] + [1] e-St t+ A.X=C₁₂ = c e 8 []+[1] + [2] + [2] + [1] C₂ e-St Int+ 25 B. X = C₁ OC.x= c [2] + [7] + [2] In C₂ e-5t Int+ 8 [1] 25 t + [1] 25 8 [1 OD.X-+*+mt-1-1 = √[2] + [2] est + [2] Int + 2²5 [2] ₁ + $ [1] OD.X=C₁ t¹ -[13] × [ 201² + 14].00. 2t¹

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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Question
Find the general solution of the following system of equations.
X' =
X+
2r +
2 -1
A. X = c
e5t +
8 [1]
Int +
+ C,
8[1
4
B. X = C
eSt +
Int +
t+
25 1
+
8 [1]
t+
25 2
C. X = G
Int +
+
25 1
8 [1]
t+
25 2
D. X = C
+ C
e5t +
Int +
Transcribed Image Text:Find the general solution of the following system of equations. X' = X+ 2r + 2 -1 A. X = c e5t + 8 [1] Int + + C, 8[1 4 B. X = C eSt + Int + t+ 25 1 + 8 [1] t+ 25 2 C. X = G Int + + 25 1 8 [1] t+ 25 2 D. X = C + C e5t + Int +
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