Let satisfy with initial condition

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Let

y

satisfy

\dfrac{dy}{dx}=\dfrac{1}{x(x-5)}

with initial condition

y(2)=0

. Which of the following intervals is the maximal domain of this particular solution? (a)

(-\infty,5)

(b)

(0,\infty)

(c)

(0,5)

(d)

(0,5]