Suppose the functions y₁ (t) = t and y₂ (t) = t³ are solutions of the differential equation y" +p(t)y' + q(t)y=0, t> 0 (1) Determine if each of the following statements is true or false. [Select] [Select] [Select] (a) {y₁, y2} forms a fundamental set of solutions of equation (1). (b) y(t) = 5 - 3t³ is a solution of equation (1). (c) y(t) = −t + 100ț³ – 10t4 is a solution of equation (1).
Suppose the functions y₁ (t) = t and y₂ (t) = t³ are solutions of the differential equation y" +p(t)y' + q(t)y=0, t> 0 (1) Determine if each of the following statements is true or false. [Select] [Select] [Select] (a) {y₁, y2} forms a fundamental set of solutions of equation (1). (b) y(t) = 5 - 3t³ is a solution of equation (1). (c) y(t) = −t + 100ț³ – 10t4 is a solution of equation (1).
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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![Suppose the functions y₁ (t) = t and y₂ (t) = t³ are solutions of the differential equation
y" +p(t)y' + q(t)y=0, t> 0
(1)
Determine if each of the following statements is true or false.
[Select]
[Select]
[Select]
(a) {y₁, y2} forms a fundamental set of solutions of equation (1).
(b) y(t) = 5 - 3t³ is a solution of equation (1).
(c) y(t) = −t + 100ț³ – 10t4 is a solution of equation (1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe823d0d7-9e80-4a70-b1f3-c40996e6523a%2F2a21a718-0381-47da-ace7-4facd1b35f0a%2Fx8ysjdr_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose the functions y₁ (t) = t and y₂ (t) = t³ are solutions of the differential equation
y" +p(t)y' + q(t)y=0, t> 0
(1)
Determine if each of the following statements is true or false.
[Select]
[Select]
[Select]
(a) {y₁, y2} forms a fundamental set of solutions of equation (1).
(b) y(t) = 5 - 3t³ is a solution of equation (1).
(c) y(t) = −t + 100ț³ – 10t4 is a solution of equation (1).
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