2.21 A mathematical model describing the state of a learner y(t) at time t while learning a specific task is governed by the differential equation (see [12]) dy dt 2k √m [y(1 - y)]³/², where k and m are positive constants depending on the individual learner and the complexity of the task, respectively. Find its solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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2.21 A mathematical model describing the state of a learner y(t) at time t while
learning a specific task is governed by the differential equation (see [12])
dy
dt
||
2k
√m
[y(1 - y)]³/²,
where k and m are positive constants depending on the individual learner and the
complexity of the task, respectively. Find its solution.
Transcribed Image Text:2.21 A mathematical model describing the state of a learner y(t) at time t while learning a specific task is governed by the differential equation (see [12]) dy dt || 2k √m [y(1 - y)]³/², where k and m are positive constants depending on the individual learner and the complexity of the task, respectively. Find its solution.
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