Write a C/C++ program that approximates the solution of the initial value problem: y’ = f(t, y) with y(a) = y0 over [a, b] using Euler’s method. Using the program approximate the solution of the initial value problem: y’ = -2ty2 with y(0) =1
Here's a C++ program that approximates the solution of an initial value problem using Euler's method. The program specifically solves the initial value problem y' = -2ty^2 with y(0) = 1.
#include
#include
using namespace std;
double f(double t, double y) {
return -2 * t * pow(y, 2);
}
void eulerMethod(double a, double b, double h, double y0) {
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