## MIT 1803 lecture 5

This lecture started with noting that equations of the form where there is no dependence in the RHS on are known as **autonomous**, and can be dealt by separation of variables (so I realized that I use separation of variables *all the time* without realizing it, in these simpler dy/dx formulas.)

**Critical points** are s.t. , creating bounding integral curves.

The **logistic equation ** where and demonstrated critical points which are when and what they can tell you. Plot the y’ vs y and y vs. t for quick intuition about what the system is doing.

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