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Laplace Transform
Undergraduate
Definition
Integral transform converting time-domain functions to complex frequency domain
Formulas
Lf(t) = F(s) = ∫₀^∞ f(t)e^-stdt
Lf'(t) = sF(s) - f(0)
Examples
Example 1
L{e^{at}} = 1/(s-a)
Example 2
L{sin(ωt)} = ω/(s²+ω²)
Applications
Circuit analysis
Control systems
Related Documents
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