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General First-Order Method
Inside this lesson
- State the universal first-order solution formula and identify its three components
- Find the initial value x(0+) using pre-switch steady-state analysis and continuity of capacitor voltage or inductor current
- Find the final value x(∞) using post-switch DC steady-state analysis (capacitor = open, inductor = short)
- Find the time constant τ by determining the Thévenin resistance seen by the energy-storage element
- Recognize natural and step responses as special cases of the general formula
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Educational content covering topics typical of a first- and second-year electrical engineering curriculum. Not a substitute for accredited coursework, and not suitable for real circuit or system design without review by a licensed professional engineer.