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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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Please answer the highlighted problem!
Transcribed Image Text:1. Verify that the given functions y₁ and y2 satisfy the given homogeneous di erential
equation.
(a) y₁(x) = e, Y₂(x) = e¯¤; y - y = 0.
(b) y₁(x) = cos 2x, y2(x) = sin 2x;
(c) y₁(x) = e` cos x, y₂(x) = e
y2(x) =
(d) y₁(x) = x−¹,
= x
y + 4y = 0.
sin x; y + 2y + 2y = 0.
−²; y + ¼y + 2²/2y = 0.
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