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List of Equations

The database contains 327 equations (8 equations are awaiting activation).

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See also: Categorized List of Equations

5. Integral Equations

5.3. Linear Equations of the First Kind with Constant Limits of Integration

Found 5 equations
 Equation(s)Author/
Contributor
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1 $\displaystyle \int^\infty_0[\sin(xt)+\varphi(x)\psi(t)]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 30 Jun 07 11:37
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2 $\displaystyle \int^\infty_0[\cos(xt)+\varphi(x)\psi(t)]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 30 Jun 07 11:40
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3 $\displaystyle \int^\infty_0[tJ_\nu(xt)+\varphi(x)\psi(t)]y(t)\,dt=f(x)$. Andrei Polyanin
Submitted: 09 Jul 07 12:08
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4 $\displaystyle g(s)=s\int_{0}^{\infty}dtK(st)f(t)$,\hfill\break
where the Kernel  has a Mellin transform integral 

$\displaystyle \int_{0}^{\infty}dtK(t)t^{s-1}=F(s)$.\hfill\break Jose Javier Garcia
Submitted: 16 Aug 13 16:22
Edited (admin): 01 Sep 13 11:03
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5 $\displaystyle \int^{1}_{0}w(y)\sinh[(y-x)\sqrt{p}]dy=0 $,\hfill\break
where $p$ is a complex parameter. Kwassi Anani
Submitted: 28 Dec 09 13:18
Edited (admin): 01 Sep 13 11:47
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Found 5 equations

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