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Results tagged with differential-equations
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user 164555
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
2
votes
1
answer
139
views
Analytical solution to a specific differential equation
I was wondering whether there is an analytical solution to the ODE
\begin{equation}
-n\int xy(x)dx + ihy'(x) + (x^2+k)y(x) = 0,
\end{equation}
where $n=0,1,2,...$, $h \in \mathbb{R}$, and $k=+1,0$ or …
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