The motion of a mass on a spring is described by 3y" + 4y = 0, y(0) = 5, y'(0) = 6. What is the amplitude of the resulting oscillations? The amplitude is √F where r =
The motion of a mass on a spring is described by 3y" + 4y = 0, y(0) = 5, y'(0) = 6. What is the amplitude of the resulting oscillations? The amplitude is √F where r =
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:**
The motion of a mass on a spring is described by the differential equation:
\[ 3y'' + 4y = 0 \]
with initial conditions:
\[ y(0) = 5, \quad y'(0) = 6. \]
*Question:* What is the amplitude of the resulting oscillations?
**Solution:**
The amplitude is given by
\[ \sqrt{r} \]
where \( r = \underline{\hspace{20mm}}. \)
**Instructions:**
- Provide your answer for \( r \) in the space provided.
- Click "Submit" once you have your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe67b47c5-7500-437e-a792-0397277503d2%2F0d2c2135-e56e-42f0-a063-a52b09ee0d0d%2Fh6mxx6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The motion of a mass on a spring is described by the differential equation:
\[ 3y'' + 4y = 0 \]
with initial conditions:
\[ y(0) = 5, \quad y'(0) = 6. \]
*Question:* What is the amplitude of the resulting oscillations?
**Solution:**
The amplitude is given by
\[ \sqrt{r} \]
where \( r = \underline{\hspace{20mm}}. \)
**Instructions:**
- Provide your answer for \( r \) in the space provided.
- Click "Submit" once you have your answer.
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