Differential Equations Examples with MAPLE

The following command must be used to bring in Differential Equations tools

with(DEtools):

You can store a differential equation with the following command.

eqn1:=diff(y(x),x)=y(x);

The following command will attempt to find an analytical solution to the differential equation

dsolve(eqn1);

The following command will plot the slope filed of a differential equation

DEplot(eqn1,y(x),x=-10..10,y=-10..10);

The following command will plot a solution curve along with the slope field for a given initial condition

DEplot(eqn1,y(x),x=-10..10,y=-10..10,{[0,1]},linecolor=black);

The following commands are solutions to the handout from class.

eqn2:=diff(y(x),x)=cos(x);

DEplot(eqn2,y(x),x=-10..10,y=-10..10);

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DEplot(eqn3,y(x),x=-10..10,y=-10..10);

eqn4:=diff(y(x),x)=1;

DEplot(eqn4,y(x),x=-10..10,y=-10..10);

eqn5:=diff(y(x),x)=x/y;

DEplot(eqn5,y(x),x=-10..10,y=-10..10);

eqn6:=diff(y(x),x)=x-y;

DEplot(eqn6,y(x),x=-10..10,y=-10..10);