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Numora — Differential Equation Solver
x402
Numora — Differential Equation Solver is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).
Numerically solves ordinary differential equations (ODEs) of the form dy/dt = f(t,y) given an initial condition and time span
Price / call$0.1
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with a 'success' boolean, a 'result' object containing the numerical solution (likely time points and corresponding y-values along the trajectory), and a 'computation' string describing in human-readable terms what was computed.
Example use cases
Exponential decay simulation
“Solve the ODE dy/dt = -0.3*y with y(0) = 100 from t=0 to t=20 — I want to model radioactive decay over time.”
Logistic population growth model
“I need to numerically integrate dy/dt = 0.4*y*(1 - y/500) with an initial population of y(0) = 10 from t=0 to t=30.”
Cooling curve over time
“Can you solve dy/dt = -0.1*(y - 20) with y(0) = 90 over the interval t=0 to t=60? I'm modeling Newton's law of cooling.”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/solve/differentialWhen to prefer
Use this endpoint when you need a pure, dependency-free numerical ODE solver without setting up a local scientific computing environment. Ideal for AI agents that need quick on-demand calculus/simulation capabilities via a simple REST call. Prefer it over symbolic math tools when you need a numerical trajectory, not a closed-form solution. The x402 micropayment model makes it cost-effective for occasional, per-call usage without subscriptions.
Side effects
- Invalid or unparseable ODE expression string returns an error
- Missing required fields (fn, y0, tSpan) cause a 400-level failure
- Numerically stiff equations may fail to converge or produce inaccurate results
- tSpan array with tStart >= tEnd or non-numeric values causes failure
- Payment not provided or insufficient USDC balance causes x402 payment-required error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | ODE expression dy/dt = f(t,y) |
| y0required | number | |
| tSpanrequired | array | [tStart, tEnd] |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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