Solve the logistic IVP y' = ky (l - y), y(0) = y0. By means of the

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Solve the logistic IVP
y' = ky (l - y), y(0) = y0.
By means of the change of variable z = y/( l - y). Solve the resulting DE in z = z(t) and then re-substitute to obtain y(t). (Your result should be equation (10) with L = 1)

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 05:57 AM

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Solve the logistic IVP y' = ky (l - y), y(0) = y0. By means of the

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y ky l y Letting z y1y yields Substituting for dydt from the origina...View the full answer

Differential Equations and Linear Algebra

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