diff ( y , x , 1 ) = ( expt ( sin ( x ) , ( 2.0 * x + 1.0 ) ) ) * ( ( 2.0 * ln (  sin ( x ) ) ) + ( ( ( 2.0 * x + 1.0 ) * cos ( x ) ) / sin ( x ) ) ) ;
!
# Comment 1
Digits := 32;
max_terms := 30;
# Comment 2
!
# Comment 3
x_start := 0.1;
x_end := 0.11 ;
diff(y,0,exact_soln_y(x_start));
glob_look_poles := true;
glob_max_iter := 1000000;
# Comment 4
!
# Comment 5
exact_soln_y := proc(x)
# Comment 6
return(expt(sin(x),2.0*x+1.0));
# Comment 7
end;