Find a general solution of the linear system below. x"=-8x + 2y, y"=2x-5y Solve for x(t). Choose the correct answer below. OA. 3t -21 +₂ e ²1 +03 € -³1 + C4 e ³⁰ 3t x(t) = C₁ e OB. 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 4¹+ c₂e²¹ +c₂e\ 9t 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. OA. 3t -21 +₂ e ²1 +03 € -³1 + C4 e ³⁰ 3t x(t) = C₁ e OB. 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 4¹+ c₂e²¹ +c₂e\ 9t 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
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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.
© A. x(t)=ce - 2t
2t
- 3t + C4 e ³t
3t
+ c₂e²¹+ c3 e
O 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
O D.
- 4t
4t
- 9t
9t
x(t) = C₁ e
+ c₂e*¹ + c3 e
+ại
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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