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InitialConditions, TimeMesh

Initial conditions of the ODE

Value Summary

InitialConditions, TimeMeshMandatoryList of arithmetical expressions

Graphics Primitives

ObjectsDefault Values
plot::Ode2d, plot::Ode3d 

Description

InitialConditions = [y1(t0), y2(t0), …] sets the initial conditions for the initial value problem

.

TimeMesh = [t0, t1, t2, …] sets the values of the independent variable t (the "time") of the ODE at which graphical points of the solution curve are plotted. The first entry t0 is the initial time for which initial conditions are set by InitialConditions.

Internally, plot::Ode2d and plot::Ode3d call the routine numeric::odesolve for solving the given ODE numerically.

The list of initial conditions set by InitialConditions is forwarded to numeric::odesolve. See the corresponding help page for further details.

Examples

Example 1

We solve the initial value problem numerically:

f := (t, Y) -> [-Y[1]]:
Y0 := [1]:
timemesh:= [0, 0.2, 0.5, 1, 1.5, 2, 3, 5]:
plot(plot::Ode2d(f, InitialConditions = Y0,
                 TimeMesh = timemesh))

delete f, Y0, timemesh:
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