def ClassicRK(x0,y0,h,xk,fxy): k1=k2=k3=k4=0 result = [(x0,y0)] while x0<=xk: k1 = fxy(x0,y0) k2 = fxy(x0+h/2,y0+h*k1/2) k3 = fxy(x0+h/2,y0+h*k2/2) k4 = fxy(x0+h,y0+h*k3) y0 += h*(k1+4*k2+k3)/6 x0 += h result.append((x0,y0)) return result if __name__=="__main__": x0 = 0 y0 = -1 fxy = lambda x,y: x + y real_fx = lambda x: -x-1 h = 0.1 xk = 2 result = ClassicRK(x0, y0, h, xk, fxy) print("x\ty\t\treal_y") for x, y in result: print(f"{x:.2f}\t{y}\t{real_fx(x)}")