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Differential Equations operators

5 operators in the differential_equations category of the live registry. Each is a named formula you can compose inside a state contract or call directly through POST /api/zeq/compute. KO42 is always on; add up to three more per call (total ≤ 4), per the 7-step protocol.

OperatorDescriptionEquation
DCS_AWZeq synchronization angular frequency operator at the 1.287 Hz pulse rate.\Omega_{sync}^{(564)} = 2\pi \cdot 1.287
DE_ODEGeneral first-order ODE initial value problem: standard form for numerical integration.\frac{dy}{dx} = f(x, y), \quad y(x_0) = y_0
DE_PDEZeq resonance wavefunction governed by a PDE with HulyaPulse time dependence.\Psi_{570} = \phi \cdot e^{i\omega_{1.287}t}
DE_SYSSystem of first-order linear ODEs: matrix form for coupled differential equations.\frac{d\vec{y}}{dt} = A\vec{y} + \vec{b}(t)
DESO6Sixth-order linear ODE with variable coefficients and forcing function.\frac{d^6y}{dx^6} + \sum_{k=0}^5 a_k \frac{d^ky}{dx^k} = f(x)

Compute with one of these​

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{"operators":["DCS_AW"],"inputs":{}}'

The response carries the bare physics value, its unit and uncertainty, the generated master equation, and a signed envelope you can verify on any node.

See also​