Use the method for solving homogeneous equations to solve the following differential equation. de 80 sec 50 5y Ignoring lost solutions, if any, the general solution is y=. (Type an expression using 0 as the variable.)
Use the method for solving homogeneous equations to solve the following differential equation. de 80 sec 50 5y Ignoring lost solutions, if any, the general solution is y=. (Type an expression using 0 as the variable.)
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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Question
![**Problem:**
Use the method for solving homogeneous equations to solve the following differential equation.
\[
\frac{dy}{d\theta} = \frac{80 \sec \left(\frac{y}{\theta}\right) + 5y}{50}
\]
---
**Solution:**
Ignoring lost solutions, if any, the general solution is \( y = \square \).
*(Type an expression using \(\theta\) as the variable.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720cd77-2294-45a6-8b70-43447dc02920%2F377d1263-8d38-4e0e-a7a7-27c5ebbd774b%2Fr4urahk_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
Use the method for solving homogeneous equations to solve the following differential equation.
\[
\frac{dy}{d\theta} = \frac{80 \sec \left(\frac{y}{\theta}\right) + 5y}{50}
\]
---
**Solution:**
Ignoring lost solutions, if any, the general solution is \( y = \square \).
*(Type an expression using \(\theta\) as the variable.)*
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