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Results tagged with ca.classical-analysis-and-odes
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user 523806
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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I am seeking a solution to an Abel equation of the first kind with $f_0=0$, $y’=f_3(x)y^3+f_...
The Abel equation of the first kind with $f_0=0$.
$$
y'=f_3(x)y^3+f_2(x)y^2+f_1(x)y \tag{1}
$$
where
\begin{align}
f_3(x)&=(12x^2-2)/x,\\
f_2(x)&=(14x^2-1)/x^2,\\
f_1(x)&=3/x.
\end{align}
This equati …
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