## MIT 1803 lecture 8

This lecture gave me insight into approaching learning and remembering formulas. This formula

was proved three separate ways in class, but is best remembered by a single diagram.

(Note that the <a, b> notation is for a complex vector). To find the proof, examine , and take the real part.

This was the last lecture on first order linear ODEs, so he reviewed the three equations in order of most to least general.

Noting that these equations show up in “life” (biology, economics) when and in “inanimate” settings when . Finding a “steady-state” and tranient solution only applies in the first case.

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