- new
Eulers (ode): EulersMethodMethod #### Parameters

##### ode: ODESim

the set of differential equations to solve

#### Returns EulersMethod

`Private`

inp_inp_: number[] = []

array used within algorithm, retained to avoid reallocation of array.

`Private`

k1_k1_: number[] = []

array used within algorithm, retained to avoid reallocation of array.

`Private`

ode_the set of differential equations to solve.

- get
Name (opt_localized?): string Name of this object, either the language-independent name for scripting purposes or the localized name for display to user.

The language-independent name should be the same as the English version but capitalized and with spaces and dashes replaced by underscore, see Util.toName and nameEquals.

#### Parameters

`Optional`

opt_localized: boolean`true`

means return the localized version of the name; default is`false`

which means return the language independent name.

#### Returns string

name of this object

- name
Equals (name): boolean Whether this DiffEqSolver has the given name, adjusting for the transformation to a language-independent form of the name, as is done by Util.toName.

#### Parameters

##### name: string

the English or language-independent version of the name

#### Returns boolean

whether this DiffEqSolver has the given name (adjusted to language-independent form)

- step(stepSize): null | object
Advances the associated ODESim by the given small time increment, which results in modifiying the state variables of the ODESim. Modifies the variables array obtained from ODESim.getVarsList by using the change rates obtained from ODESim.evaluate.

#### Parameters

##### stepSize: number

the amount of time to advance the differential equation

#### Returns null | object

null if the step succeeds, otherwise an object relating to the error that occurred

- to
String (): stringShort Returns a minimal string representation of this object, usually giving just identity information like the class name and name of the object.

For an object whose main purpose is to represent another Printable object, it is recommended to include the result of calling

`toStringShort`

on that other object. For example, calling`toStringShort()`

on a DisplayShape might return something like this:`DisplayShape{polygon:Polygon{'chain3'}}`

#### Returns string

a minimal string representation of this object.

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Euler's method for solving ordinary differential equations expressed as a ODESim; operates by using the differential equations to advance the variables by a small time step.

Note that

Euler's method is not numerically stable, it is provided for educational purposes only. See ModifiedEuler for a numerically stable version of Euler's method.