For , a particular solution to passes through the point . Which of the following is…

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

Problem

For

x>3

, a particular solution to

\dfrac{dy}{dx}=\dfrac{2x}{x^{2}-9}

passes through the point

(5,0)

. Which of the following is that solution? (a)

\ln\!\left(\dfrac{x^{2}+9}{16}\right)

(b)

\ln\!\left(\dfrac{x^{2}-9}{25}\right)

(c)

\ln\!\left(\dfrac{x^{2}-9}{16}\right)

(d)

\ln\!\left(x^{2}-9\right)-4