Find a general solution of the linear system below. х" - 4y' - 3х %3 0, у'+4x' -Зу %3D0 Solve for x(t). Choose the correct answer below. O A. x(t) = c, cos 3t + c, sin 3t + cz cos 9t + C, sin 9t - 9t 9t + C4 e x(t) = c, e ¯t +c2 e* + C3 e C. x(t) = c4 e -t+c2et+C3 e В. - 9t 9t + C4 e D. x(t) = c, cost+c2 sint+ c3 cos 3t + c4 sin 3t 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. х" - 4y' - 3х %3 0, у'+4x' -Зу %3D0 Solve for x(t). Choose the correct answer below. O A. x(t) = c, cos 3t + c, sin 3t + cz cos 9t + C, sin 9t - 9t 9t + C4 e x(t) = c, e ¯t +c2 e* + C3 e C. x(t) = c4 e -t+c2et+C3 e В. - 9t 9t + C4 e D. x(t) = c, cost+c2 sint+ c3 cos 3t + c4 sin 3t 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" - 4y' - 3х %3 0, у' +4x' - Зу%3D0
Solve for x(t). Choose the correct answer below.
O A. X(t) = c, cos 3t + c, sin 3t + c, cos 9t +C, sin 9t
O B.
x(t) = cq e ¯l + c2 e +c3 e
- 9t
9t
+ C4 e
C.
– 9t
9t
x(t) = cq e -t+c2 et +C3 e
+ C4
D. x(t) = c, cost+ c, sint+ cz cos 3t + c4 sin 3t
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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