Find a general solution of the linear system below. x" - 9y' - 2x = 0, y"+x' - 2y = 0 ... Solve for x(t). Choose the correct answer below. O A. x(t) = c, cos 2t + cz sin 2t + cz cos 4t + c4 sin 4t O B. x(t) = c, cost+c, sint+ cz cos 2t + c4 sin 2t OC. x(t) = c, e + Cz e' +C3 e 4t +C4 e OD. x(t) = cq e ¯1+ c2 e' +cz e -4 + C4 e t 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
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Find a general solution of the linear system below.
x" - 9y' - 2x = 0, y"+x' - 2y = 0
Solve for x(t). Choose the correct answer below.
O A. x(t) = c, cos 2t + c, sin 2t + c3 cos 4t + c, sin 4t
O B. x(t) = c, cost+c, sint+ c3 cos 2t + c4 sin 2t
O C. x(t) = c1 e * + ze'+c3 e
4t
4t + C4 °
-4t
OD.
x(t) = cq e 1+c2 e'+ c3 e
4t
+ C4
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) =O
Transcribed Image Text:Find a general solution of the linear system below. x" - 9y' - 2x = 0, y"+x' - 2y = 0 Solve for x(t). Choose the correct answer below. O A. x(t) = c, cos 2t + c, sin 2t + c3 cos 4t + c, sin 4t O B. x(t) = c, cost+c, sint+ c3 cos 2t + c4 sin 2t O C. x(t) = c1 e * + ze'+c3 e 4t 4t + C4 ° -4t OD. x(t) = cq e 1+c2 e'+ c3 e 4t + C4 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) =O
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