GeoGebra
You can use GeoGebra to draw the integral curves and direction fields of a differential equation.
To draw integral curves in GeoGebra, you need to find a particular solution of the differential equation for each curve you want to draw.
GeoGebra Instruction 1
Integral Curves
- 1.
- Open
Algebra ViewandGraphics ViewunderViewinMenu. - 2.
- For each particular solution you want to draw, type
f(x) := <the particular solution>
into
Algebra View. PressEnter. - 3.
- Do this as many times as necessary with different particular solutions if you are going to make a family of curves.
To draw direction fields, you have to solve the differential equation with respect to first. That is, you have to write the differential equation so that is isolated on the left-hand side of the equal sign. You do this because you need an expression for .
GeoGebra Instruction 2
Direction Fields
- 1.
- Open
Algebra ViewandGraphics ViewunderViewinMenu. - 2.
- Type
SlopeField(<f(x, y)>)intoAlgebra View. Type the expression for as<f(x,y)>. PressEnter.