## Main.AlgebraicVariables History

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Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are

### Consistent Initial Conditions

Forward stepping algorithms such as DASSL, DASPK, or CVODE generally require ordinary differential equations (ODEs) or index-1 differential algebraic equations (DAEs) and consistent initial conditions. This is not a restriction with simultaneous methods as used by APMonitor. Also, ODEs or DAEs of any index can be solved.

Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are declared in the variables section.

## Algebraic Variables

Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are

### Consistent Initial Conditions

Forward stepping algorithms such as DASSL, DASPK, or CVODE generally require ordinary differential equations (ODEs) or index-1 differential algebraic equations (DAEs) and consistent initial conditions. This is not a restriction with simultaneous methods as used by APMonitor. Also, ODEs or DAEs of any index can be solved.

### Example

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! Example model with 2 algebraic equations Model example Parameters p = 1 End Parameters Variables v1 = 1 v2 = 2 End Variables Equations v1 = v2 + p 2*v1 * v2 = v1^2 End Equations End Model

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