# Slope Field Tool with Exact Solution

- Author:
- karen_keene

This geogebra worksheet allows you to see a slope field for any differential equation that is written in the form dy/dx=f(x,y). If you are using a DE that has different variables, you must change the independent variable to x and the dependent variable to y. For example, if your DE is: dP/dt=.5(P-t), you would enter it as dy/dx=.5(y-x). To change the viewing window, right click and enter the "Graphics" settings (click and drag on the left edge of the sidebar to remove) or hold shift and drag the screen. Use the reset button in the top right of the screen to reset the applet to its default settings.
To show the solution to the DE, move point A to your desired initial value and then use the "Drag to Show Solution" slider to reveal the solution. You can change the maximum value of the solution slider by changing the "Max x-value." You can also change the density of the slope field with the density slider. To charight of the screen to reset the applet to its default settings.
If you have questions or concerns, please email kakeene@ncsu.edu.