Consider the following 1st order IVP:
$$\frac{dy}{dx} + \frac{y}{x} = 0,\hspace{10mm} y(0)=1$$
Can this even be solved through any numerical or analytical approximation methods?
2026-04-01 21:29:56.1775078996
Why can't a numerical method solve an ODE that contains singularities
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