This is the third part of a three-part problem. Consider the system of differential equations with solutions Y{ Y₂2 y (t) = C₁ y₁ (t) Y2(t) = = = = 5y1 + 3y2, 3y1 + 5y2, C₁e²t + c₂est, -C₁e²t + c₂est, for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as ÿ(t) = c₁ÿ₁(t) + c₂ÿ2 (t). + C2
This is the third part of a three-part problem. Consider the system of differential equations with solutions Y{ Y₂2 y (t) = C₁ y₁ (t) Y2(t) = = = = 5y1 + 3y2, 3y1 + 5y2, C₁e²t + c₂est, -C₁e²t + c₂est, 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
![This is the third part of a three-part problem.
Consider the system of differential equations
with solutions
ỹ (t) =
Y{
Y₂₁2
= C1
y₁ (t)
Y₂(t)
=
=
=
=
5y1 + 3y2,
3y1 + 5y2,
for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as
ÿ(t) = C₁ÿ₁(t) + C2ÿ2(t).
C₁e² + c₂est
"
-C₁e²t + c₂e8t,
+ C2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6890296c-2fc0-4a83-b66a-ee1a85d807a1%2Fa3af851e-3246-439c-94f0-b36501595e18%2Fmey756a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This is the third part of a three-part problem.
Consider the system of differential equations
with solutions
ỹ (t) =
Y{
Y₂₁2
= C1
y₁ (t)
Y₂(t)
=
=
=
=
5y1 + 3y2,
3y1 + 5y2,
for any constants c₁ and c₂. Rewrite the solution of the equations in vector form as
ÿ(t) = C₁ÿ₁(t) + C2ÿ2(t).
C₁e² + c₂est
"
-C₁e²t + c₂e8t,
+ C2
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