Find a general solution of the linear system below. x"=-8x + 2y, y"=2x-5y Solve for x(t). Choose the correct answer below. A. x(t) = C₁ e ²¹+c₂e²² + c₂e² 2t 2t 3t 3t + C4 6 B. x(t)=c₁ cos 4t+C₂ sin 4t + c3 cos 9t + c4 sin 9t C. x(t)=c₁ cos 2t+c₂ sin 2t + c3 cos 3t+c4 sin 3t OD. x(t) = C₁ e 9t 9t +6₂e41 + c3 e + C4 e Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. y(t) =
Find a general solution of the linear system below. x"=-8x + 2y, y"=2x-5y Solve for x(t). Choose the correct answer below. A. x(t) = C₁ e ²¹+c₂e²² + c₂e² 2t 2t 3t 3t + C4 6 B. x(t)=c₁ cos 4t+C₂ sin 4t + c3 cos 9t + c4 sin 9t C. x(t)=c₁ cos 2t+c₂ sin 2t + c3 cos 3t+c4 sin 3t OD. x(t) = C₁ e 9t 9t +6₂e41 + c3 e + C4 e Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. y(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Find a general solution of the linear system below.
x"= 8x + 2y, y" =2x-5y
Solve for x(t). Choose the correct answer below.
O A.
- 2t
2t
- 3t
3t
x(t) = C₁ e + c₂e + c3 e
+ C4 e
B. x(t)=c₁ cos 4t+C₂ sin 4t + c3 cos 9t + c4 sin 9t
C. x(t)=c₁ cos 2t+ c₂ sin 2t + c3 cos 3t+c4 sin 3t
4t
- 9t
9t
x(t) = C₁ e
² + c₂e²¹ + c3e²
Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations.
y(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F896deee6-4ebc-4afd-8502-502eb7aa6712%2Faa572580-1682-4e01-94f8-49beec9e3e4a%2Fk01t0u_processed.png&w=3840&q=75)
Transcribed Image Text:Find a general solution of the linear system below.
x"= 8x + 2y, y" =2x-5y
Solve for x(t). Choose the correct answer below.
O A.
- 2t
2t
- 3t
3t
x(t) = C₁ e + c₂e + c3 e
+ C4 e
B. x(t)=c₁ cos 4t+C₂ sin 4t + c3 cos 9t + c4 sin 9t
C. x(t)=c₁ cos 2t+ c₂ sin 2t + c3 cos 3t+c4 sin 3t
4t
- 9t
9t
x(t) = C₁ e
² + c₂e²¹ + c3e²
Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations.
y(t) =
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