| SimReal: Exercise - Mathematics - ODE - DiffEq | |
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Diff.Eq. - ODE Numerical and analytical (if it exists) solutions of diff.eq. of any order. As default this application shows the numerical solution (blue graph) and the analytical solution (red graph) of the following differential equation: y' + 2y = cos(4x) y(0) = 3 Start the study of a new diff.ee. by click the pushbutton 'Reset'. Then write the diff.eq. in the data field 'Diff.Eq.'. The coefficients can be either scalars or functions of x and y. It's important to write the elements in decreasing diff-order. Write the initial conditions in the white data field 'Init.' The initial values of x, y, y', y'' are scalars. Control Objects: - Diff.Eq. : Write the differential equation here - Init x-y-y'-y''-y''' : Initial conditions - xInput : x input value to move a point on the graph - Analytic Solution : Analytical solution (if it exists) - Numeric : Show the numerical solution - Analytic : Show the analytical solution (if it exists) - (x,y) N : The point value (x,y) on the numerical graph - (x,y) A : The point value (x,y) on the analytical graph - Sim N : Simulation of the numerical solution - Sim A : Simulation of the analytical solution - Exp Tab : Experimental (x,y) values - Table - Exp Graph : Experimental (x,y) values - Graph - Axis : Show the axis - Grid : Show the grid - Coord : Change the units in the coordinate system - Origin : Move the origin (click in the simulation window) - Compute : Compute and show the numerical solution - Clear : Clear the data fields and the graphs - Reset : Reset the application (clear and new coord) |
