Find X(t) Use the elimination method to find a general solution for the given linear system, where differentiation is withrespect to t.x=7x-8y+ sinty' =4x-y-costOA. y(t) = C₁et + C₂te ³t.3t1113+cost+34sin t102OB. y(t)=C₁et + C₂te³t +1113cost+sin t34102c. y(t) = C₁et cos 4t + C₂e3t113t13sin 4t+cost+sint34102D. y(t)=C₁et cos 4t+ C2et sin 4t+1113cost+34sint102OE. The system is degenerate.Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the systemof differential equations. Select the correct choice below and, if necessary, fill in the answer box to completeyour choice.OA. x(t) =B. The system is degenerate.

Givenx′=7x−8y+sinty′=4x−y−cost

Answered: Find X(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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