The following differential equation is a Bernoulli equation: 2 dy + = y³ y3 where y = f(t) dt t By making the substitution Z = y", where n is a rational number, obtain the linear differential equation involving Z and t.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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The following differential equation is a Bernoulli equation:
2
dy + 2²/0 - y³ where y = f(t)
dt
t
By making the substitution Z = y", where n is a rational number,
obtain the linear differential equation involving Z and t
Transcribed Image Text:The following differential equation is a Bernoulli equation: 2 dy + 2²/0 - y³ where y = f(t) dt t By making the substitution Z = y", where n is a rational number, obtain the linear differential equation involving Z and t
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