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Página IDM-15
Transformadas de Laplace, 16-10
Definiciones, 16-10
Transformada de Laplace y sus inversas en la calculadora, 16-11
Teoremas de las transformadas de Laplace, 16-12
Función delta de Dirac y función grada de Heaviside, 16-15
Aplicaciones de transformadas de Laplace en la solución de
EDOs lineales, 16-17
Series de Fourier, 16-27
Función FOURIER, 16-29
Serie de Fourier para una función cuadrática, 16-29
Serie de Fourier para una onda triangular, 16-35
Serie de Fourier para una onda cuadrada, 16-39
Usos de la serie de Fourier en ecuaciones diferenciales, 16-41
Transformada de Fourier, 16-43
Definición de las transformadas de Fourier, 16-46
Características de la transformada de Fourier, 16-48
La transformada rápida de Fourier (FFT), 16-49
Ejemplos de aplicaciones de la FFT, 16-49
Solución a ecuaciones diferenciales específicas de segundo orden, 16-53
La ecuación de Cauchy o de Euler, 16-53
Ecuación de Legendre, 16-54
Ecuación de Bessel, 16-55
Polinomios de Chebyshev o Tchebycheff, 16-57
Ecuación de Laguerre, 16-58
Ecuación de Weber y polinomios de Hermite, 16-59
Soluciones numéricas y gráficas de las EDOs, 16-60
Solución numérica de una EDO de primer orden, 16-60
Solución gráfica de una EDO de primer orden, 16-62
Solución numérica de una EDO de segundo orden, 16-64
Solución gráfica para una EDO de segundo orden, 16-66
Solución numérica para el EDO rígida de primer orden, 16-68
Solución numérica a EDOs con el menú SOLVE/DIFF
, 16-70
Función RKF, 16-70
Función RRK, 16-72
Función RKFSTEP, 16-72
Función RRKSTEP, 16-73
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