npx skills add parcadei/Continuous-Claude-v3 --skill first-order-odes --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# First Order Odes ## When to Use Use this skill when working on first-order-odes problems in odes pdes. ## Decision Tree 1. **Classify the ODE** - Linear: y' + P(x)y = Q(x)? - Separable: y' = f(x)g(y)? - Exact: M(x,y)dx + N(x,y)dy = 0 with dM/dy = dN/dx? - Bernoulli: y' + P(x)y = Q(x)y^n? 2. **Select Solution Method** | Type | Method | |------|--------| | Separable | Separate and integrate | | Linear | Integrating factor e^{int P dx} | | Exact | Find potential function | | Bernoulli | Substitute v = y^{1-n} | 3. **Numerical Solution (IVP)** - `scipy.integrate.solve_ivp(f, [t0, tf], y0, method='RK45')` - For stiff systems: `method='Radau'` or `method='BDF'` - Adaptive step size: specify rtol/atol, not step size 4. **Verify Solution** - Substitute back into ODE - Check initial/boundary conditions - `sympy_compute.py dsolve "y' + y = x" --ics "{y(0): 1}"` 5. **Phase Portrait (Autonomous)** - Find equilibria: f(y*) = 0 - Analyze stability: sign of f'(y*) - `z3_solve.py solve "dy/dt == 0"` ## Tool Commands ### Scipy_Solve_Ivp ```bash uv run python -c "from scipy.integrate import solve_ivp; sol = solve_ivp(lambda t, y: -y, [0, 5], [1]); print('y(5) =', sol.y[0][-1])" ``` ### Sympy_Dsolv
- When to Use
- Decision Tree
- Tool Commands
- ScipySolveIvp
- SympyDsolve
- Z3Equilibrium
- Key Techniques
- Cognitive Tools Reference
uv run python -c "from scipy.integrate import solve_ivp; sol = solve_ivp(lambda t, y: -y, [0, 5], [1]); print('y(5) =', sol.y[0][-1])"
uv run python -m runtime.harness scripts/sympy_compute.py dsolve "Derivative(y,x) + y" --ics "{y(0): 1}"
uv run python -m runtime.harness scripts/z3_solve.py solve "f(y_star) == 0"What does the first-order-odes skill do?
Problem-solving strategies for first order odes in odes pdes
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill first-order-odes --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,885 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.