Introduction to the Laplace Transform |
Contents
Chapter I | 1 |
Transforms of Discontinuous Functions | 32 |
6 | 52 |
Copyright | |
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applied assume boundary conditions called Chapter complex consider constant controller convergent cosh defined definition depending derivatives determine differential equation discontinuity driving e-st F(t equal Example Exercises exists exponential order express extend fact factor finite force formal function F(t given gives graph Hence illustrate implies impulse function infinite initial conditions integral interval inverse transform Laplace transform length limit linear mass method motion Note obtain origin particular periodic positive potential problem Proof prove respect response result satisfies sectionally continuous side sinh solution Solve step string substitution Suppose t₁ temperature term Theorem unit functions variable voltage write written zero