In the following, verify by substitution that the given functions are a solution of the given differential equation (primes denote derivatives with respect to x): y" + 4y = 0; y₁ = cos 2x, y₂ = sin 2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This is a practice question from my Differential Equations course. Thank you.

In the following, verify by substitution that the given functions are a solution of the given
differential equation (primes denote derivatives with respect to x):
y" + 4y = 0; y₁ = cos 2x, y₂
= sin 2x
Transcribed Image Text:In the following, verify by substitution that the given functions are a solution of the given differential equation (primes denote derivatives with respect to x): y" + 4y = 0; y₁ = cos 2x, y₂ = sin 2x
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