mallory — differential equations

Numerically solves a first-order IVP dy/dx = f(x, y), plotted against its slope field.

Via Numerical.rk4. v1 is a single first-order equation with a fixed (non-pannable) domain. Before falling back to that numeric plot, it also tries Symbolic.solveOdeClosedForm -- separable and linear-first-order equations with an elementary antiderivative get an exact "Closed form:" line above the plot, with a small button to copy its LaTeX source (most equations have no elementary closed form, so this is silently absent rather than an error). "Export video" renders a shareable MP4/GIF of the slope field with the RK4 solution progressively traced from the initial condition, server-side via ecmanim. Coupled systems of ODEs now have their own phase-portrait view.

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dy/dx =

y() =

Closed form: $y = \frac{e^{x} \cdot x - e^{x} + 2}{e^{x}}$

x: [, ] y: [, ]

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