Please show all work to receive a thumbs up for the following question: No mathlab please

[30 pts] Use the non- linear shooting method with accuracy 113'2 {stop at 3rd iteration if this accuracy is not attained earlier) to solve the boundary-value problem : y": we}:3 , and 1 g x 5. 2,y(1)=1r2,y(2)=1r3,u5e h=.5 Compare your results with actual solution: y(x} = 11"(3' +1}