Chapter 2.2, Problem 14P

(a)

To determine

To solve: The differential equation $y^{\prime }=x{y}^3{\left(1+x^2\right)}^{-\frac{1}{2}},y\left(0\right)=1$.

(b)

To determine

To sketch: The graph of the solution of the differential equation $y^{\prime }=x{y}^3{\left(1+x^2\right)}^{-\frac{1}{2}},y\left(0\right)=1$.

(c)

To determine

To find: The interval in which the solution of the differential equation $y^{\prime }=x{y}^3{\left(1+x^2\right)}^{-\frac{1}{2}},y\left(0\right)=1$ is defined.