# Calculus: General Differentiation – #19687

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 $$y\left( 2 \right)=1$$