#include "stdio.h"
#include "math.h"

double f(double x, double y) {
    return y*y + 1;
}

int main() {
    // input data
    double y0 = 0.0, x0 = y0, f0 = f(x0, y0);

    // iteration data
    double x = x0, y = y0, h = 0.05;
    int i, a=0, b=1, n = (b-a)/h;

    // main loop
    for (i=0; i <= n + 1; ++i) {
        printf("y(%.03f) = %.05f\n", x, y);
        y = y + h*f(x, y);
        x += h;
    }
}