Consider the initial value problem given below. It): E=2+tsinib x[0]=l] Use the improved Euler's method with tolerance to approximate the solution to this initial value problem att= [1.3. For a tolerance of e = 0.009, use a stopping procedure based on absolute error. The approximate solution is xt.8}x D. (Round to three decimal places as needed.) or Determine the recursive formulas for The Taylor method oi order 2 for the initial value problem below. Note whether or not 5 is bounded. 2 v'=xv-5v .viUi= -1 E: of Let 3r\" = fl[}(,y}_ Find E and detennine whether or not it is bounded. Select the correct choice below and ll in the answer box to complete 1,rour choice. at A. X, = is not bounded. 0 Bart v} j at B. x. = is bounded 0 Bart v} j Determine the recursive formula for X\" +1, with step size h. E (Type an equation.) Determine the recursive formula for vn +1, with step size h. E (Type an equation.)