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La Place
Differential Equations
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Why Laplace Transforms Are Used in Circuit Analysis
Capacitors and inductors turn circuit equations into differential equations in the time domain. Capacitor: i = C dv/dt. Inductor: v = L di/dt. Put them together in one circuit and you get a system of coupled differential equations. Solving that by hand is slow and painful. The Laplace transform maps the time domain into the s domain. A ...
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