Advanced Calculus for Applications |
Contents
Ordinary Differential Equations | 1 |
The Laplace Transform | 51 |
Numerical Methods for Solving Ordinary Differential | 93 |
Copyright | |
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A₁ analytic analytic function approximation arbitrary ax² axis Bessel functions boundary branch points c₁ C₂ characteristic characteristic functions coefficients complex considered constant converges coordinates corresponding cosh curve d²y d2y dx2 deduce defined determined differential equation dx dy dx2 dx dy dx example expression finite flow follows formal formula function f(x given hence infinite integral interval Laplace transforms Laplace's equation line integral linear mapping method notation notice obtain odd function partial differential equation particular solution polynomial positive integer prescribed region regular singular point result of Problem s₁ satisfy Section Show singular point sinh surface T₁ Taylor series theorem u₁ u₂ values vanish variable vector velocity velocity potential Verify write Wronskian xy plane y₁ zero ди диг дл дф дх ду