Consider the Bernoulli's equation: dy - y = 6e*y³. dx A) Find an appropriate substitution and reduce the DE to a linear equation. B) Solve the resulting linear equation, and find a solution to the Bernoulli's equation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 29E
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Consider the Bernoulli's equation:
dy
- y = 6e*y³.
dx
3
A) Find an appropriate substitution and
reduce the DE to a linear equation.
B) Solve the resulting linear equation, and find
a solution to the Bernoulli's equation.
Transcribed Image Text:Consider the Bernoulli's equation: dy - y = 6e*y³. dx 3 A) Find an appropriate substitution and reduce the DE to a linear equation. B) Solve the resulting linear equation, and find a solution to the Bernoulli's equation.
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