Consider the equation y"-y-2y = 0. Assume that y₁ (1) = ¹ and y₂(1) = e² form a fundamental set of solutions.
Consider the equation y"-y-2y = 0. Assume that y₁ (1) = ¹ and y₂(1) = e² form a fundamental set of solutions.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 43E
Related questions
Question
can you provide a solution here please?
![Consider the equation
y" -y - 2y = 0.
Assume that y₁ (1) = ¹ and y₂(1)
Your Answer
Correct.
=
(b) Let
Y3 (1)
Y4 (1)
= y₁ (1) + 6y₂ (1)
ys(t) = 6y₁ (1) -6y3(1).
=
Correct Answer (Used)
- 6e²t
e2 form a fundamental set of solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9cc9045-d880-49aa-8a1f-979f43228413%2F0503bbde-7338-4d93-8758-296c59608f5e%2F3choxq_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the equation
y" -y - 2y = 0.
Assume that y₁ (1) = ¹ and y₂(1)
Your Answer
Correct.
=
(b) Let
Y3 (1)
Y4 (1)
= y₁ (1) + 6y₂ (1)
ys(t) = 6y₁ (1) -6y3(1).
=
Correct Answer (Used)
- 6e²t
e2 form a fundamental set of solutions.
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