build a dark-themed academic react dashboard for ode visualization titled "applied math 202: visual differential equations". left sidebar: textarea for dx/dt and dy/dt equations, sliders for parameters (a, b, c), and simulation controls (add particle, show traces). center: large html5 canvas displaying a vector field grid of white arrows and light-blue particle trajectories integrated using rk4. right sidebar: "computational data" table showing real-time (x, y, dx, dy) values and a scrollable [log] window at the bottom. use monospace fonts, thin grid lines, and a minimalist, data-heavy design typical of scientific lab software.
