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
icon
Related questions
Question
The shown answer is incorrect
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
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
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning