Use Any Numerical Method to Solve the Following Differential Equation $e^{\mathrm{x}} \mathrm{y}^{\prime}-x^{2} y-y=4 ; y(1)=7$

Short Answer

Use any numerical method to solve the following differential equation: $e^{\mathrm{x}} \mathrm{y}^{\prime}-x^{2} y-y=4 ; y(1)=7$ . Find $y(2)$ to two decimal places.