Ellira

#include "pch.h"
#include <iostream>
#include <cmath>
#include <locale>

using namespace std;

double F(double x, double y) {
    return ((-0.5)*(y / x)) + x * x;
}

double tocnoe_rechenie(double x) {
    return ((2.0/7)*x*x*x) + ((5.0/7) / sqrt(x));
}

int main() {
    setlocale(LC_ALL, "Russian");
    double a = 1, b = 2, h = 0.1;
    double n = (b - a) / h;
    double X[12], Y[12], Y1[12], raz[12];
    X[0] = a, Y[0]=1;

    for (int i = 1; i < n+1; i++) {
        X[i] = a + i * h;
        Y[i] = Y[i - 1] + h * F(X[i - 1], Y[i - 1]);
        //Y[1] = 1;
    }

    for (int i = 1; i < n+1; i++) {
        cout << "X[" << i << "]=" << X[i] << " "<<"\n";
    }

    cout << endl;

    for (int i = 1; i < n+1; i++) {
        cout << "Y[" << i << "]=" << Y[i] << " "<<"\n";
    }

    cout << "\nТочное решение\n" << endl;

    for (int i = 1; i < n+1; i++) {
        Y1[i] = tocnoe_rechenie(X[i]);
        cout << "Y1[" << i << "]=" << Y1[i] << " " << "\n";
    }

    cout << "\nПогрешность\n" << endl;

    for (int i = 1; i < n+1; i++) {
        raz[i] = abs(Y1[i] - Y[i]);
        cout << raz[i] << "\n";
    }

    system("pause");
    return 0;
}