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- #include <iostream>
- #include <cmath>
- using namespace std;
- double F(double x, double y) {
- return (cos(y))/(x+2);
- }
- int main() {
- double a = 0; double b = 1; double h = 0.1;
- double n = (b - a) / h;
- double X[(int)n];
- double Y1[(int)n];
- double Y2[(int)n];
- double Y3[(int)n];
- double Y4[(int)n];
- double Y[(int)n];
- //calculate
- X[0] = 0; Y[0] = 0;
- for (int i = 1; i <= n; i++) {
- X[i] = a + i * h;
- Y1[i] = h * F(X[i - 1], Y[i - 1]);
- Y2[i] = h * F(X[i - 1] + h / 2.0, Y[i - 1] + Y1[i] / 2.0);
- Y3[i] = h * F(X[i - 1] + h / 2, Y[i - 1] + Y2[i] / 2);
- Y4[i] = h * F(X[i - 1] + h, Y[i - 1] + Y3[i]);
- Y[i] = Y[i - 1] + (Y1[i] + 2 * Y2[i] + 2 * Y3[i] + Y4[i]) / 6;
- }
- //print results
- for (int i = 0; i <= n; i++) {
- cout << "X[" << i << "]=";
- cout << fixed << setprecision(5) << X[i] << endl;
- }
- cout << endl;
- for (int i = 0; i <= n; i++) {
- cout << "Y[" << i << "]=";
- cout << fixed << setprecision(5) << Y[i] << endl;
- }
- return 0;
- }
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