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Results tagged with ca.classical-analysis-and-odes
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user 476359
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
5
votes
1
answer
771
views
Analytical solution for coupled ODE system
I came across this coupled system of ODE in my research (related to foulant in reaction diffusion system):
$$\frac{d^2y}{dx^2} - A\frac{yz}{x} = 0$$
$$\frac{d^2z}{dx^2} - B\frac{yz}{x} = 0$$
where $A$ …
- 193
4
votes
4
answers
540
views
Non-constant-coefficient second-order linear ODE
I came across this equation in my research (related to reaction diffusion system):
$$\frac{d^2y}{dr^2}+B\operatorname{sech}^2(r) \frac{dy}{dr} + Cy = 0$$
where $B$ and $C$ are constants. Can it be sol …
- 193