MIT 1803 lecture 9

This lecture introduced linear second order ODEs, specifically

y'' + Ay' + By = 0

the approach is to try y=e^{rt} and found the characteristic equation of the system.

N.B. complex roots of the quadratic equation are complex conjugates a + bi .

Theorem: if u+iv is a complex solution to a real differential equation, then u and v are real solutions.

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