Use Any Numerical Method to Solve the Following Differential Equation $\frac{y^{\prime \prime}}{x^{2}}+y^{\prime} \sin x=0 ; y^{\prime}(1,1)=1$

Short Answer

Use any numerical method to solve the following differential equation: $\frac{y^{\prime \prime}}{x^{2}}+y^{\prime} \sin x=0 ; y^{\prime}(1,1)=1$ . Find $y(2)$ to three decimal places.