Example 2: Solve where .

Solution: We find first the general solution using FO .

> a:=x->2*x;f:=x->x^3;

> FO;

> simplify(%);

We use unapply unapply to make the previous solution a function of .

> y:=unapply(%,x);

Now we plug in the initial conditions to solve for the constant .

> solve(y(1)=1,C);

> simplify(%);

Thus . (Note do not just write e, in Maple e is a constant, the number e is given by exp(1)). Next we substitute in the formula for . We use Maple command subs to do this.

> subs(C=exp(1),y(x));

> simplify(%);