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Question: how to use dsolve solve this problem

Question:how to use dsolve solve this problem

maple fan 205 Maple
dsolve numeric
October 16 2014
1

I got a problem in using dsolve.
In my real question, some functions are quite complicated.
so here is a simple example.
F1:=x(t)^2;F2:=piecewise(t>=0,y(t)^3,t>=0.1,exp(y(t)));
eq1:=diff(x(t),t$2)=F1;eq2:=diff(y(t),t$2)=subs(x=y,F1)-F2;
ic1:=x(0)=1.2,D(x)(0)=0;ic2:=y(0)=MM(tf),D(y)(0)=NN(tf);
#tf is the point where x(tf)=30.
dsolve({eq1,eq2,ic1,ic2,x(tf)=30},numeric);

above command can't give an answer.

how to use dsolve solve this problem?

any ideas is appreciated.
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