Este PDF proporciona unas aplicaciones de la Transformada de Laplace, cubriendo sus definiciones básicas, propiedades fundamentales y aplicaciones prácticas en la resolución de ecuaciones diferenciales. Ideal para estudiantes y profesionales que buscan una comprensión rápida y efectiva de este...
Se viene lo chido, calculemos la transformada inversa de L, para aplicar el teorema de unicidad
para funciones continuas de Laplace, esto dice:
Si dos funciones tienen igual transformada de Laplace, entonces son iguales:
Primero, demonos cuenta de lo siguiente:
𝑒 2𝜋√𝑐𝑖 + 1
cot(𝜋√𝑐) = (𝑖)
(𝑒 2𝜋√𝑐𝑖 − 1)
Por identidad de Euler, un viejo conocido:
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