Question Number 121683 by arkanmath7@gmail.com last updated on 10/Nov/20
$${Find}\:{a}\:{sequence}\:{of}\:{successive} \\ $$$$\:{approximations}\:{for}\:{the}\:{problem} \\ $$$${y}^{\:''} \:=\:{x}\:−\:{y}\:,\:\:\:\:{y}\left({o}\right)=\mathrm{1}\:,\:{y}^{\:'\:} \left(\mathrm{0}\right)=\mathrm{0} \\ $$