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The Laplace transform of a conditional random variable

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#conditional-probability #laplace-transform #characteristic-functions
45
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What happened to interchange Laplace transform and one definite integral (Fubini's theorem is not satisfied)?

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#calculus #integration #laplace-transform
33
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Off by a negative sign in Laplace transform $\mathcal{L}\{tx^{(3)}(t)\}(s)$?

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#real-analysis #ordinary-differential-equations #analysis #laplace-transform
51
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Solve a renewal equation with Laplace transform

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#integration #ordinary-differential-equations #analysis #laplace-transform
23
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find the Laplace transform of the following $f(t)=(\sqrt{t}-1)^{2}$

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#calculus #sequences-and-series #analysis #laplace-transform #constants
210
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Find the inverse Laplace transform of F(s) = 1/(s+exp(-sτ)), where τ is a positive real parameter.

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#complex-analysis #partial-differential-equations #laplace-transform #residue-calculus #inverse-laplace
18
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OGF to EGF transformation

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#power-series #generating-functions #laplace-transform
4.1k
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Equality of laplace transform

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#laplace-transform
23.5k
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Laplace tranform of $t^{5/2}$

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#derivatives #laplace-transform
6.6k
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laplace transformation $\cos^2(3t)$ and $\sin(5t)cos(2t)$

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#integration #derivatives #laplace-transform
14.4k
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inverse laplace transformation of $\arctan(\frac{4}{s})$

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#integration #derivatives #laplace-transform
2.1k
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Use Laplace transformations to solve $y''+4y'+4y=e^{-x}$, so that $y(0)=0$ and $y'(0)=1$

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#ordinary-differential-equations #laplace-transform
67
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Find what values of 'b' have bounded solution(differential equation)?

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#ordinary-differential-equations #laplace-transform #periodic-functions
72
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Solving a differential equation using Laplace transform?

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#ordinary-differential-equations #laplace-transform #dirac-delta
296
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use laplace transformation to solve $y^{(4)}-16y=0$, being $y(0)=1$, $y'(0)=0$, $y''(0)=0$, $y'''(0)=0$

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#integration #ordinary-differential-equations #derivatives #laplace-transform

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