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 ) ) ) ; ! Digits := 32; max_terms := 30; ! x_start := 0.1; x_end := 0.11 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_iter := 1000000; glob_max_h := 0.0001; ! exact_soln_y := proc(x) return(expt(sin(x),2.0*x+1.0)); end;