[All Steps] (a) Show that every member of the family of functions y=((ln x+C))/(x) is a solution of the differential equation x^2y'+xy=1. (b) Illustrate
Question: (a) 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 \(y\left( 2 \right)=1\)
Deliverable: Word Document 
Solution: A function y(t) satisfies the differential equation
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