Solve the equation. 3 dy dx = 4x5 (8+y²) ² An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant. (Type an expression using x and y as the variables.)
Solve the equation. 3 dy dx = 4x5 (8+y²) ² An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant. (Type an expression using x and y as the variables.)
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
![### Differential Equation Problem
#### Problem Statement
Solve the equation.
\[
\frac{dy}{dx} = 4x^5 \left(8 + y^2 \right)^{\frac{3}{2}}
\]
#### Solution
An implicit solution in the form \( F(x, y) = C \) is \( \boxed{} = C \), where \( C \) is an arbitrary constant.
(Type an expression using \( x \) and \( y \) as the variables.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe57d9078-3a26-4ab9-a5c6-f67f173c178d%2Ff4a7c46b-a677-4f24-a6d6-7ebc02ba70ec%2Fdc0h5en_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Differential Equation Problem
#### Problem Statement
Solve the equation.
\[
\frac{dy}{dx} = 4x^5 \left(8 + y^2 \right)^{\frac{3}{2}}
\]
#### Solution
An implicit solution in the form \( F(x, y) = C \) is \( \boxed{} = C \), where \( C \) is an arbitrary constant.
(Type an expression using \( x \) and \( y \) as the variables.)
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