= Verify that each solution is a solution to the given differential equation. Also, describe the interval on which it is a solution. (a) ty' - y = t²; candidate solution: (t) = 3t+t² (b) t²y" + 5ty' + 4y = 0, t > 0; candidate solutions (verify each): 1 (t) = t ², ₂(t) = t²ln(t)
= Verify that each solution is a solution to the given differential equation. Also, describe the interval on which it is a solution. (a) ty' - y = t²; candidate solution: (t) = 3t+t² (b) t²y" + 5ty' + 4y = 0, t > 0; candidate solutions (verify each): 1 (t) = t ², ₂(t) = t²ln(t)
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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Verify that each solution is a solution to the given differential equation. Also, describe the interval on which
it is a solution.
(a) ty' - y = t²; candidate solution: (t) = 3t+t²
(b) t²y" + 5ty + 4y = 0, t > 0; candidate solutions (verify each): 1 (t) = t-², ₂(t) = t-² ln(t)
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