Consider the system of differential equations with solutions y ₁ y ₂ ÿ(t) = C₁ y₁ (t) y₂ (t) = = = = 3y1 + 2y2, 4y1 + y2, C₁e5t - c₂e-t, C₁e5t +2c₂e-t, for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as ÿ(t) = c₁ÿ₁(t) + c2ÿ2(t). | + C₂
Consider the system of differential equations with solutions y ₁ y ₂ ÿ(t) = C₁ y₁ (t) y₂ (t) = = = = 3y1 + 2y2, 4y1 + y2, C₁e5t - c₂e-t, C₁e5t +2c₂e-t, for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as ÿ(t) = c₁ÿ₁(t) + c2ÿ2(t). | + C₂
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
please solve it on paper

Transcribed Image Text:This is the third part of a three-part problem.
Consider the system of differential equations
with solutions
for any constants C1 and
ÿ(t) =
y₁
Y/₂
= C1
y₁ (t)
Y2 (t)
=
=
=
=
3y1 + 2y2,
4y1 + y2,
C₁e5t - c₂e-
c₁e5t +2c₂e-t,
C2. Rewrite the solution of the equations in vector form as y(t) = C1ÿ1(t) + C2Ÿ2(t).
"
+ C₂
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

