**Question: ** Show that every member of the family of functions \(y=\frac{\left( \ln x+C \right)}{x}\) is a solution of the differential equation \({{x}^{2}}y’+xy=1\).

(b) Illustrate part (a) by graphing several member of the family of solutions on a common screen.

(c) Find a solution of the differential equation that satisfies the initial condition \(y\left( 1 \right)=2\)

(d) Find a solution of the differential equation that satisfies the initial condition \(y\left( 2 \right)=1\)