MIT 1803 lecture 1

I started back at the beginning of the MIT math differential equations lecture series, and watched the first 18-03 Spring lecture.  Vastly helpful for me as I hadn’t taken a class in differential equations.  This covered the geometric view of understanding differential equations, drawing the direction field, integral curves, and isoclines.  He observed pointedly that one of the difficulties with differential equations is that you don’t know what the domain of a solution will be until you’ve fully calculated the curve.

Integral curves cannot cross, nor can they even touch tangentially!

By the phrase “one and only one” we imply existence and uniqueness.

There is an online direction field plotter available.

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