Solve the given homogeneous ODE. Also, state the value of a. 2xy + y² = 2x² a= dx
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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![### Solve the Given Homogeneous ODE
#### Problem Statement:
Solve the given homogeneous ordinary differential equation (ODE). Also, state the value of \( \alpha \).
#### Given Equation:
\[ 2xy \frac{dy}{dx} + y^2 = 2x^2 \]
\[ \alpha = \]
In this problem, you are required to determine the value of \( \alpha \) that satisfies the given differential equation and find the solution to the ODE.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dfcde0a-cc8e-4f7e-b5e2-9ec6ad36a3c9%2Fbf80b169-df75-4dfb-bdd7-9c7ee184e93e%2Fosvxrbo_processed.png&w=3840&q=75)
Transcribed Image Text:### Solve the Given Homogeneous ODE
#### Problem Statement:
Solve the given homogeneous ordinary differential equation (ODE). Also, state the value of \( \alpha \).
#### Given Equation:
\[ 2xy \frac{dy}{dx} + y^2 = 2x^2 \]
\[ \alpha = \]
In this problem, you are required to determine the value of \( \alpha \) that satisfies the given differential equation and find the solution to the ODE.
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