Introduction to the Laplace Transform |
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1817 LIBRARIES A₁ absolutely convergent Advanced Calculus Englewood applied boundary conditions boundary value problem Calculus Englewood Cliffs Chapter CHIGAN coefficients constant Convolution Theorem corollary cosh kt definition driving function dx dy e-as e-at e-st dt e-st F(t e-sto erfc et² Example Exercises exists exponential order eat factor find the inverse finite discontinuities finite number function F(t given graph Hence illustrate Improper Integral initial conditions interval inverse transform JU(x k²)² kt dt Laplace transform Laplace transform method lim e-st lim F(t lim I(B lim sf(s linear obtain ordinary differential equation partial fraction periodic functions positive number problem Proof s(s² satisfies sectionally continuous sin kt solved for x(s sx(s t₁ temperature term Theorem XI U₁ Uniform Convergence unit functions unit impulse function variable voltage Y₁(t дх