EET 300 Lecture Notes - Lecture 10: Oliver Heaviside, Step Function, Dirac Delta Function
14 Dec 2018
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Document Summary
The laplace transform was 1st applied to ode"s (ordinary differential. Equations) by pierre simon de laplace (1749-1827). work was extended by oliver heaviside (england, 1850- 1925), who was the first to apply the laplace techniques to circuit analysis through his operational calculus . Among the things that he applied to the laplace techniques were: the unit step function, u(t) to describe a switch mathematically was defined, the notion of algebratizing the ode"s with constant coefficients was formalized. Typically, the process to solve a system would be: Convert it to an algebraic transform expression via laplace methods. Solve the transformed expressions with algebra: determine the inverse transform of the result. You now have the solution to the ode. We will not normally write the ode. (yea!!!) Then we perform the conversion -> solve -> inverse transform, where most of the work is in the inverse transform. (algebra: we end up with a desired time domain mathematical response for the circuit.
