Geogebra

Try out Geogebra, here is the home page, and here you find the beta-versions (opens in a new page). I have installed both version 4 and the beta-version (to become version 5).
To start version 4, type: /chalmers/sw/unsup64/geogebra-4.2.47.0/geogebra
To start version 5, type: /chalmers/sw/unsup64/geogebra-4.9.225.0/geogebra-portable


Make yourself acquainted with Geogebra.


Save the following file (note it is not a text file), lab.ggb, and open it in Geogebra. Implement some of the behavior in Matlab, so:
  1. One should be able to change the initial value, y0,  using the slider (but not by moving the point along the y-axis, since you have used this technique already).
  2. You may assume that y0 lies in the interval [-1.5, 1.5] and the time in [0, 20].
  3. Use ode45 to solve the differential equation. You can assume that the differential equation stays the same, i.e. y' = 0.1 y+ y^2.
  4. Switch off the warnings from ode45 (once your code is working). The solution to the ode may have a singularity (depends on the value of y0) and we do not want the see this warning all the time. This is the way to switch of the warning:
    warning('Off', 'MATLAB:ode45:IntegrationTolNotMet')