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.

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.CR: Chapter 11 Review
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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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