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Math
Integral of the month: \( \int \frac{x^\alpha dx}{x^2- 2 \beta x + 1} \)
An integral with branch cut.
The math of low pass filtered PWM
This is a deep dive into the math of low pass filter with driven by a square wave.
Forced & damped Harmonic Oscillator
Mass-spring system with dumping and driving forces. A full solution is presented with interactive plots.
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