How can I find the roots of this complex equation?

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vinodjoshi
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Dear all
I have an equation which is as follows

[D^4+(2*D^3)-(D^2)-(2*D)+(i/(l^4))]y=0

where D=d/dz, l is a constant and i is a complex no.

I want to find out the roots of this equation. How can I find the roots. If there is any online calculator which is capable to do so please let me know.

Thanks in advance
 
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Dear CompuChip
Thanks very much
 
There is the following linear Volterra equation of the second kind $$ y(x)+\int_{0}^{x} K(x-s) y(s)\,{\rm d}s = 1 $$ with kernel $$ K(x-s) = 1 - 4 \sum_{n=1}^{\infty} \dfrac{1}{\lambda_n^2} e^{-\beta \lambda_n^2 (x-s)} $$ where $y(0)=1$, $\beta>0$ and $\lambda_n$ is the $n$-th positive root of the equation $J_0(x)=0$ (here $n$ is a natural number that numbers these positive roots in the order of increasing their values), $J_0(x)$ is the Bessel function of the first kind of zero order. I...
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