Solve the Differential Equation $y^{\prime}+y=x+1$ , with Initial Condition $y(1)=2$ And Step Size 0

Short Answer

Solve the differential equation $y^{\prime}+y=x+1$ , with initial condition $y(1)=2$ and step size 0.1 , using the modified Euler's method. Find $y(2)$ to three decimal places.