Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t x = 9x-10y + sint y' = 5x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 41 O A. y(t)=C₁ecos 5t+C₂e 4 sin 5t +- cost+ sint 208 OB. y(t)=C₁e¹t+C₂te¹ + 51 208 cost+ 21 208 51 41 OC. y(t)=C₁e4+C₂te 4 + cost+ 208 OA. x(t)= OB. The system is degenerate. sin t 21 208 51 208 sint 41 OD. y(t)=C₁e cos 5t+ C₂ sin 5t+ cost+ 21 208 21 208 sin t OE. 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 system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t x = 9x-10y + sint y' = 5x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 41 O A. y(t)=C₁ecos 5t+C₂e 4 sin 5t +- cost+ sint 208 OB. y(t)=C₁e¹t+C₂te¹ + 51 208 cost+ 21 208 51 41 OC. y(t)=C₁e4+C₂te 4 + cost+ 208 OA. x(t)= OB. The system is degenerate. sin t 21 208 51 208 sint 41 OD. y(t)=C₁e cos 5t+ C₂ sin 5t+ cost+ 21 208 21 208 sin t OE. 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 system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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 = 9x-10y + sint
y' = 5x-y-cost
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
51
41
O A. y(t)=C₁ecos 5t+C₂e 4 sin 5t +- cost+
208
51
O B. y(t)=C₁e¹t+C₂te¹ + cost+
208
21
208
51
OC. y(t)=C₁e+C₂te 41+ cost+
208
51
41
OD. y(t) = C, e cos 5t + C₂ sin 5t +-
208
OA. x(t)=
OB. The system is degenerate.
sin t
21
208
sint
cost+
21
208
21
208
sint
sin t
OE. 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 system
of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
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