Consider the following differential equation y′′(x) = 2x+ sin[y′(x)]−cos[y(x)]    for    0< x <2 y(0) = 0,   y(2) = 1) 
(1)Solve the equation, numerically, following the procedure outlined today. 
that isSet Initial Guess,y(0)ifori= 0, ..., N•DefineF,Fy,Fy′•DefineJi,j(y0, ..., yN)HINT:(Consider tridag function!)•Defineφi(y0, ..., yN)•Solve the system of equationsJ(yk)∆y=−φ(y(k))•Update youry, usingy(k+1)=y(k)+∆y•Run iterations until a ”satisfying” result appears aty(1)