Autonomous Equations
When a first-order DE has the form y' = f(y), so the right-hand side doesn’t depend on 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?
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