{"uid":"cap_ZagMXhKAJJ8A7nsqZIHmV","slug":"numora-differential-equation-solver-81cf4379","name":"Numora Differential Equation Solver","description":"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.","url":"https://numormor.netlify.app/api/solve/differential","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","y0","tSpan"],"properties":{"fn":{"type":"string","description":"ODE expression dy/dt = f(t,y)"},"y0":{"type":"number"},"tSpan":{"type":"array","description":"[tStart, tEnd]"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_SNgMYwPyPWksUfiJKIHzN","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Numerically solves ordinary differential equations (ODEs) of the form dy/dt = f(t,y) given an initial condition and time span","exampleAgentPrompt":"Can you solve the differential equation dy/dt = -0.5 * y with initial condition y(0) = 10 over the time span from t=0 to t=20?","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the numerical solution (time points and corresponding y values), and a human-readable computation string describing what was solved.","failureModes":["Invalid or unparseable ODE expression string returns error","Missing required fields (fn, y0, tSpan) returns validation error","tSpan array not in [tStart, tEnd] format causes failure","Stiff or numerically unstable ODE may produce inaccurate or failed results","Non-numeric y0 or tSpan values cause parsing errors","Payment failure via x402 micropayment protocol blocks request"],"whenToPreferThis":"Use 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, without setting up any local computation environment. Ideal for AI agents needing on-demand calculus computation with no dependencies.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:51:46.695Z","isFirstParty":false}