Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t x' = 6x-2y+ sint y' 25x-4y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. O A. y(t)=C₁e¹+C₂te ¹+ 202 629 cost+ 202 OB. y(t)=C₁e+C₂te' + cost + 629 638 629 638 629 sin t sin t 202 OC. y(t)=C₁ecos 5t + C₂e sin 5t+ cost+ 629 638 629 sin t 202 638 OD. y(t) = C,e' cos 5t+C₂e sin 5t+ cost+ sin t 629 629 O E. The system is degenerate.
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t x' = 6x-2y+ sint y' 25x-4y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. O A. y(t)=C₁e¹+C₂te ¹+ 202 629 cost+ 202 OB. y(t)=C₁e+C₂te' + cost + 629 638 629 638 629 sin t sin t 202 OC. y(t)=C₁ecos 5t + C₂e sin 5t+ cost+ 629 638 629 sin t 202 638 OD. y(t) = C,e' cos 5t+C₂e sin 5t+ cost+ sin t 629 629 O E. The system is degenerate.
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:Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.
x' = 6x-2y + sint
y' = 25x - 4y - cost
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
O A. y(t) = C₁e¹+C₂te ¹+
202
629
638
cost+ 629
202
OB. y(t)=C₁e + C₂te' + cost+
629
638
629
sint
sin t
202
OC. y(t) = C₁e¹cos 5t + C₂esin 5t+ cost+
629
202
OD. y(t) = C₁e¹ cos 5t + C₂e¹ sin 5t+ cost+
629
O E. The system is degenerate.
638
629 sint
638
629
sin t
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