vector-field-tool

微分方程课的向量场 / 相图教学工具 · Vector fields and phase portraits for a differential-equations course.

打开交互页面 / Open the interactive page →

输入 x' = f(x, y)、y' = g(x, y) 或一阶方程 dy/dx = g(x, y) / M dx + N dy = 0，看方向场、平衡点、解曲线；滚轮缩放、拖动平移、悬停预览、点击固定。 Enter a planar system or a first-order equation and explore its direction field, equilibria and solution curves.

For AI clients (MCP)

The same kernel is exposed as MCP tools so Claude can answer questions with computed results instead of guesses. Add <this origin>/mcp as a custom connector (Streamable HTTP, stateless, no auth) and ask it to analyze a system; results render as an interactive widget.

• Tools: analyze_system, trace_trajectory, sample_field, analyze_first_order, ping
• Widget page (rendered inside the host): /widget

Source and documentation: github.com/Qscxds/vector-field-tool