To prove that there is an equilibrium point for d y d t = f ( y ) b e t w e e n y = − 10 a n d y = 10.

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Chapter 1.6, Problem 38E

(a)

To determine

To calculate: To prove that there is an equilibrium point for $dydt=f(y) between y=−10 and y=10.$

(b)

To determine

To calculate: To prove that if y=1 is source then $dydt=f(y)$ must have at least two sinks between y=-10 and y=10.

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