Maple Tool 2

This study is for use with Activity 4 in Section 3.3.

>    with(plots):with(DEtools):

Enter the value of g  in feet per second per second.

>    g:=32.17;

Here is the slope field for this differential equation.

>    plot1:=DEplot(diff(s(t),t)=g*t,s(t), t=0..5, s=0..200,arrows=line, color=navy):%;

Part (b).  Enter your formula for the solution s(t)  to the initial value problem in (b).

>    sb:=t->???;

Plot the graph on the slope field.

>    plot2:=plot(sb(t),t=0..5, thickness=2):
display(plot1,plot2);

Part (c).  Enter your formula for the solution s(t)  to the initial value problem in (c).

>    sc:=t->???;

Plot the graphs of both solutions on the slope field.

>    plot3:=plot(sc(t),t=0..5, thickness=2, color=green):
display(plot1,plot2,plot3);

>