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Rewrite (Laplace) transfer function

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#laplace-transform #control-theory
68
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Solve the following problem, $u'(t)+p(t)u(t)=0,\;\;u(0)=0,$ $p(t)=\begin{cases}2& 0\leq t< 1,\\1 &t\geq 1\end{cases}.$

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#calculus #algebra-precalculus #ordinary-differential-equations #derivatives #laplace-transform
58
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Laplace inverse of $(s+2)U(s)=0$ and $(s+1)U(s)=0.$

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#ordinary-differential-equations #derivatives #laplace-transform #inverse-laplace
3.3k
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Find Laplace transform of $(sin^2 2t)$

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#laplace-transform
687
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Region of Convergence of Bilateral Laplace Transform

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#statistics #laplace-transform
944
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Inverse Laplace transform (first shifting theorem)

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#calculus #laplace-transform
1k
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Partial fraction of $\frac{2s+12}{ (s^2 + 5s + 6)(s+1)} $ then inverse transform it

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#calculus #laplace-transform #partial-fractions
371
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Why can one ignore the real part of a complex number because of Fourier transform "only using the rotational part"?

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#laplace-transform #fourier-transform
69
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Find $\mathcal{L}^{-1} \frac{9}{(s+3)^3} $

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#laplace-transform #fractions #inverse-laplace
182
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why is the area under unit impulse is always equal to 1?

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#laplace-transform #area
671
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Z transform of real-time input to discrete transfer function

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#discrete-mathematics #laplace-transform #control-theory #neural-networks #z-transform
224
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Calculating an integral using Laplace transform

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#laplace-transform
239
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Laplace transform of $\sin(\pi|t-1|)$.

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#laplace-transform
424
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Use Laplace transform to solve $xy”+(1-x)y’+my=0$

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#ordinary-differential-equations #laplace-transform
486
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Partial fractions - Solve the differential equation $y’’ + 2y’ + 5y = \sin 2t$ using Laplace transform when $y=0$ and $y’ = 0$ when $t=0$

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#laplace-transform #partial-fractions

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