Laplace Transform Ultimate Study Guide
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ftnpM_RO0Jc
This tutorial includes the Laplace transform of derivatives, Laplace transform of e^(at), Laplace transform of t^n, Laplace transform of sin(bt) cost(bt), and Laplace transform of hyperbolic functions. Laplace transform properties such as the shift theorem or the convolution theorem. Some special Laplace transforms will be included such as the Laplace transform of the unit step function, Laplace transform of the Dirac Delta function, Laplace transform of sin(t)/t, Laplace transform of the first and second derivative of the function, Laplace transform of ln(t), and more. • Inverse Laplace Marathon: 👉 • Ultimate Inverse Laplace Transform St... • Laplace for you t-shirt: 👉https://amzn.to/3MV933x • File: 👉 / files-to-laplace-95154820 • 0:00 start • Q1, Laplace Transform of e^(at), 1:16, • Q2, Laplace Transform of t^n, 6:14, • Q3, Q4, Laplace Transform of sin(bt) cost(bt), 17:51, • Q5, Laplace Transform of sinh(bt), 24:05, • Q6, Laplace Transform of cosh(bt), 28:33, • Q7, Laplace Transform of the unit step function U(t-a), 32:00, • Q8, Laplace Transform of Window function, 39:05, • Q9, Laplace Transform of Dirac Delta function, 43:56, • Q10, Laplace Transform of f(t-a)u(t-a) and f(t)u(t-a), 51:58, • Q11, Laplace Transform of (t-2)^2*u(t-2) and t^2*u(t-2), 1:04:17, • Q12, Laplace Transform of f(at), 1:09:43, • Q13, Laplace Transform of e^(at)*f(t), 1:19:26, • Q14, Laplace Transform of t^3*e^(2t), 1:23:05, • Q14*, Laplace Transform of e^(3t)*cos(2t), 1:25:58, • Q15, Laplace Transform of t*f(t), 1:28:29, ft. Feynman’s trick, Leibniz rule, differentiation under the integral sign • Q16, Laplace Transform of t*sin(bt), 1:35:45 • Extension: Laplace Transform of t^n*f(t), 1:38:19 • Q14 again, 1:41:06 • Q17, Laplace Transform of f(t)/t, 1:45:55 • Q18, Laplace Transform of sin(t)/t, 2:01:30 • Honorable mentions: 2:04:03, integral of sin(t)/t from 0 to inf, integral of e^(-t)sin(t)/t from 0 to inf, integral of sin(e^x) from -inf to inf • Q19, Laplace Transform of f'(t), 2:10:33 • Q20, Laplace Transform of f''(t), 2:16:26 • Q21, Laplace Transform of integral of f(v), 2:22:25 • Q22, Convolution theorem, 2:28:11, • **a small mistake in the video: [thanks to Franscious Cummings] 2:35:16 U(t-v). t is the number and v is the variable • Honorable mentions, Laplace Transform of sin(t)cos(t) vs sin(t)*cos(t), 2:44:05 • Q23, Laplace Transform of sqrt(t), 2:46:40, • Gamma Pi functions: • Introduction to the Gamma function ... • (1/2)! = sqrt(pi)/2, • what is half factorial? (1/2)!=? via.... • Q24, Laplace Transform of ln(t), 2:53:59, • Dr. P: integral of e^(-x)*ln(x) from 0 to inf, • Integral of e^-x ln(x) from 0 to infi... • Mu Prime Math: Why Laplace transform can solve differential equations: • 6: Laplace Transforms - Dissecting Di... • Chester: Generalized Dirichlet Integral, • Video
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