Chapter 9.4, Problem 8E

(a)

To determine

To obtain: The approximation for the differential equation $y^{\prime }={\left(1+x^2\right)}^{-1}$ for n = 4 with the initial condition $y\left(0\right)=0\text{ and }b=1$.

(b)

To determine

To obtain: The approximation for the differential equation $y^{\prime }={\left(1+x^2\right)}^{-1}$ for n = 6 with the initial condition $y\left(0\right)=0\text{ and }b=1$.