[Maple Math]

In this case, we have [Maple Math] , and the general solution is of the form [Maple Math] .

The condition [Maple Math] implies that [Maple Math] , and the condition [Maple Math] implies that [Maple Math] .

We can instruct Maple to verify this reasoning as follows:

> de0 := diff(H(x),x$2)=0;

[Maple Math]

> sol0 := dsolve(de0,H(x));

[Maple Math]

> H:=unapply(rhs(sol0),x);

[Maple Math]

> solve({H(0)=0,H(Pi)=0},{_C1,_C2});

[Maple Math]