Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t dx = x-y dt dy = 4x+y dt Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. ○ A. y(t) = C₁e¯¹ + C₂te¯† ○ B. y(t) = C₁e¹ + C₂tet Oc. y(t)=C₁e cos 2t+ C₂et sin 2t D. y(t)=C₁e cos 2t + C₂e¹ sin 2t 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. A. x(t)= C₁e cos 2t+ + C₂e¹ sin 2t
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t dx = x-y dt dy = 4x+y dt Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. ○ A. y(t) = C₁e¯¹ + C₂te¯† ○ B. y(t) = C₁e¹ + C₂tet Oc. y(t)=C₁e cos 2t+ C₂et sin 2t D. y(t)=C₁e cos 2t + C₂e¹ sin 2t 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. A. x(t)= C₁e cos 2t+ + C₂e¹ sin 2t
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 4CR
Related questions
Question
![Use the elimination method to find a general solution for the given linear system, where differentiation is with
respect to t.
dx
= x-y
dt
dy
dt
= 4x+y
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
○ A. y(t) = C₁e¯¹ + C₂te¯†
○ B. y(t) = C₁e¹ + C₂tet
Oc. y(t)=C₁e cos 2t+ C₂et sin 2t
D. y(t)=C₁e cos 2t+ + C₂e¹ sin 2t
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.
A. x(t)=C₁e cos 2t+ + C2e¹ sin 2t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e996ea7-cb36-40c1-90ef-5b50ce800a3d%2Fb424ddd4-8e54-4719-bbbc-44ddd90a0f52%2Fyu0akj6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the elimination method to find a general solution for the given linear system, where differentiation is with
respect to t.
dx
= x-y
dt
dy
dt
= 4x+y
Eliminate x and solve the remaining differential equation for y. Choose the correct answer below.
○ A. y(t) = C₁e¯¹ + C₂te¯†
○ B. y(t) = C₁e¹ + C₂tet
Oc. y(t)=C₁e cos 2t+ C₂et sin 2t
D. y(t)=C₁e cos 2t+ + C₂e¹ sin 2t
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.
A. x(t)=C₁e cos 2t+ + C2e¹ sin 2t
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