1(a) Show that every member of the family of functions y = (2 ln x + C)/x is a solution of the differential equation

x2y' + xy = 2.

(Simplify as much as possible.)

so y is a solution of the differential equation.

b) Find a solution of the differential equation that satisfies the initial condition y(1) = 3.

c) Find a solution of the differential equation that satisfies the initial condition y(3) = 1.

x2y' + xy = 2.

(Simplify as much as possible.)

so y is a solution of the differential equation.

b) Find a solution of the differential equation that satisfies the initial condition y(1) = 3.

c) Find a solution of the differential equation that satisfies the initial condition y(3) = 1.

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1(a) Show that every member of the family of functions y = (2 ln x + C)/x is a solution of the differential

equation

x2y' + xy = 2.

(Simplify as much as possible.)

so y is a...