Archive for the ‘Differential Equations’ Category

GeoGebra: Tangent Fields & Isoclines

January 29th, 2012 No comments
Click the image to link to GeoGebraTube
(Opens in a new window/tab).

This applet displays tangent fields and coloured gradient fields for general solutions of explicitly defined 1st order ODE’s (i.e. dy/dx = …..)
It also displays the particular solution curve; you can set the boundary condition by dragging the blue point. [Euler’s numerical method is used with error correction]

The applet also shows isoclines where possible [dy/dx=f(x,y) must be polynomial in x and y]