Modern Operational Calculus: With Applications in Technical Mathematics |
Contents
THEOREMS OR RULES OF THE OPERATION | 18 |
EQUATIONS WITH CONSTANT COEFFI | 49 |
SOLUTION OF PARTIAL LINEAR DIFFI | 63 |
Copyright | |
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Modern Operational Calculus - With Applications in Technical Mathematics N. W. McLachan No preview available - 2012 |
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a√t² absolutely and uniformly absolutely convergent alternating Appendix applied asymptotic axis Bessel function boundary conditions bounded in t≥0 cable closed interval constant continuous function continuous in t≥0 convergent series converges uniformly corresponding cosh differential equation diverges dt converges e-at e-Pot e-pt dt e-ptt erfc Evaluate Example Find the L.T. finitely discontinuous follows formula Fourier expansion h₁ h₂ Hence impulse infinite integral infinite range infinity initial conditions integral converges integral equation integral sign interpretation inverted Jo(t Ko(t Laplace transform Lerch's theorem Mellin Mellin inversion theorem monotonic obtain order of integration origin p²+1 p²+a² p²+w² Proof quiescent initially reader represents satisfied Show sinh solution Solve t)dt t₁ term by term transform equation uniformly convergent uniformly with respect valid velocity write x²/v² y₁ Yo(t zero дх