When a lint-order DE has the form y' = f(y), so the right-band side doesn't depend oo

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When a lint-order DE has the form y' = f(y), so the right-band side doesn't depend oo t, the equation is called autonomous (which means independent of time).
The logistic equation y' = ky(1 - y) in Problem 60 and the equation y' = y2 - 4 in Example 9 are examples of autonomous equations.
(a) List those DEs in Problems 9-17 and 31-39 that are autonomous.
(b) What is the distinguishing property of isoclines for autonomous equations?
In Problem 60
When a lint-order DE has the form y' = f(y),
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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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