A function satisfies for and passes through the point

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A function satisfies

\dfrac{dy}{dx}=\dfrac{1}{x}

for

x>0

and passes through the point

(3,2)

. Determine the particular solution

y(x)

defined on

(0,\infty)