Differential-equation solution can have infinite value {singularity, solution} at point {singular point, differential equation}. Singular point has at least one discontinuous differential coefficient. Singular point can be stable at focal point, where all curves through the point are convex. Singular point can be stable at center. Singular point can be unstable at point {node, intersection} where paths meet and end.
Theories {Fuchsian theory} can smooth singularities in linear differential equations.
Groups {monodromy group} can explain singularities in linear differential equations.
Singular points {saddle point}| can be unstable where convex and concave curves are orthogonal.
3-Calculus-Differential Equation
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Date Modified: 2022.0225