(1 point) Check by differentiation that y = 3 cos 2t + 3 sin 2t is a solution to y" + 4y = 0 by finding the terms in the sum: y" 4y So y" + 4y = =
(1 point) Check by differentiation that y = 3 cos 2t + 3 sin 2t is a solution to y" + 4y = 0 by finding the terms in the sum: y" 4y So y" + 4y = =
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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![**Problem Statement:**
Check by differentiation that \( y = 3 \cos 2t + 3 \sin 2t \) is a solution to \( y'' + 4y = 0 \) by finding the terms in the sum:
1. Calculate the second derivative: \( y'' = \) [Fill in here]
2. Calculate \( 4y \): \( 4y = \) [Fill in here]
3. Verify the sum: So \( y'' + 4y = \) [Fill in here]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccc4b4bb-a94d-4dc4-be7d-92733a14ab19%2Fae88543f-ae21-409f-b6a9-4c12376d4977%2Fhyob6s_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Check by differentiation that \( y = 3 \cos 2t + 3 \sin 2t \) is a solution to \( y'' + 4y = 0 \) by finding the terms in the sum:
1. Calculate the second derivative: \( y'' = \) [Fill in here]
2. Calculate \( 4y \): \( 4y = \) [Fill in here]
3. Verify the sum: So \( y'' + 4y = \) [Fill in here]
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