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Numora Differential Equation Solver
x402
Numora Differential Equation Solver is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
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 (typically arrays of time points and corresponding y values), and a 'computation' string describing in human-readable form what was computed.
Example use cases
Exponential Decay Modeling
“I need to model radioactive decay — solve dy/dt = -0.03*y with an initial amount y0 = 500 over the time span from t=0 to t=100.”
Population Growth Simulation
“Can you numerically solve the logistic growth equation dy/dt = 0.2*y*(1 - y/1000) with y0 = 50 from t=0 to t=50?”
RC Circuit Voltage Analysis
“Solve the ODE dy/dt = (5 - y) / 2 representing an RC circuit charging, starting at y0 = 0, from t=0 to t=10.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/solve/differentialWhen to prefer
Choose this endpoint when you need to numerically solve a first-order ODE dy/dt = f(t,y) with a known initial condition over a defined time interval, with no external dependencies. Ideal for scientific computing, physical simulations, financial modeling, or any agent workflow requiring differential equation solutions as a pure computation step without standing up a local math library.
Side effects
- Invalid ODE expression string that cannot be parsed — returns error
- tSpan array not formatted as [tStart, tEnd] — returns validation error
- Stiff or chaotic ODE causing numerical instability — may return incomplete or inaccurate results
- Missing required fields (fn, y0, tSpan) — returns 400-level error
- Micropayment failure (insufficient USDC balance) — request rejected before computation
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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