Subject is : numrical analysis ..

dy = 2xy, y(2) = 1 dx we want to find y(3) value by 4th order Runge kutta method(take step size h=1) + = y +0.h (k, +2k, +2k, +k) k = f(x, y) 19- k; = f(x + 5 xx, takin) kg = f(x+ y. + h 2.9+,h ky = f(x +h, y, + k,h) k=? (k2=15) Note: comma (.) are used instead of point(.) in turkish excel. x data values are [1 3 4 5], y data values corresponding to x data values are [1 1.2 3.3 3] Whatisthe relative true errorpercentage forx=5? A) 4.33333% B) 5.33333% C) 2.33333% D) 1.33333% EL 333232 9- The highest order of polynomial integrand for which Simpson's 1/3 rule of integration is exact is A fourth By fifth . C) Second D) first E) third