English: Numerical integration of ${\displaystyle y'=y}$ with initial values: ${\displaystyle x_{0}=0\,{\text{and}}\,y_{0}=1}$ using forward-Euler (blue) and mid-point (green) methods with step size '0.25' and compared with exact solution ${\displaystyle \left(y=e^{x}\right)}$ (red).