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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
can you provide a solution here please?
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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