7.29.- Resuelva el siguiente PVI con el mtodo de Runge-Kutta de
cuarto orden: ANTONIO NIEVES
EN MATLAB:
clc, clear all, close allformat compact%% INGRESOsyms x y z xp1
xp2 yp1 zp1 yp2 zp2 yp3 zp3 fprintf('\n\n')f1=input(' Ingrese la
funcin dy/dx = ');f2=input(' Ingrese la funcin dz/dx = ');x0 =
input(' Ingrese el valor inicial de x, x(0) = ');y0 = input('
Ingrese el valor inicial de y, y(0) = ');z0 = input(' Ingrese el
valor inicial de z, z(0) = ');xf = input(' Ingrese el valor final
de x, x(f) = ');h= input(' Ingrese el valor de h, h = ');%% MTODO
DE RUNGE-KUTTA (4TO ORDEN)i=1;n = (xf - x0)/h;
g1=subs(f1,{x,y,z},{xp1,yp1,zp1});g2=subs(f2,{x,y,z},{xp1,yp1,zp1});m1=subs(f1,{x,y,z},{xp1,yp2,zp2});m2=subs(f2,{x,y,z},{xp1,yp2,zp2});n1=subs(f1,{x,y,z},{xp2,yp3,zp3});n2=subs(f2,{x,y,z},{xp2,yp3,zp3});xp(1)
= x0; yp(1) = y0;zp(1) =
z0;fprintf('\n\t\t\t============================================')fprintf('\n\t\t\t
MTODO DE RUNGE-KUTTA (4to
Orden)')fprintf('\n\t\t\t============================================')fprintf('\n\t\t\t
i x y
z')fprintf('\n\t\t\t============================================')fprintf('\n\t\t\t
%2d %6.4f %6.4f %6.4f\n',i,xp(1),yp(1),zp(1))while i
