Solve the given initial value problem. dx dt =3x+y-e2t. x(0)=2 dy =2x+2y; y(0)=-6 dt y 1 2t The solution is x(t) = 3 5 -3t -2t -10e and y(t)=2x-10e
Solve the given initial value problem. dx dt =3x+y-e2t. x(0)=2 dy =2x+2y; y(0)=-6 dt y 1 2t The solution is x(t) = 3 5 -3t -2t -10e and y(t)=2x-10e
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
Section11.2: Linear First-order Differential Equations
Problem 1YT
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![Solve the given initial value problem.
dx
dt
=3x+y-e2t.
x(0)=2
dy
=2x+2y;
y(0)=-6
dt
y
1
2t
The solution is x(t) =
3
5
-3t
-2t
-10e and y(t)=2x-10e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e996ea7-cb36-40c1-90ef-5b50ce800a3d%2Fdd946a98-d988-4342-ba11-4ba71bd6ca52%2Fphlw66u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the given initial value problem.
dx
dt
=3x+y-e2t.
x(0)=2
dy
=2x+2y;
y(0)=-6
dt
y
1
2t
The solution is x(t) =
3
5
-3t
-2t
-10e and y(t)=2x-10e
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