A function satisfies and passes through

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

Problem

A function

y=y(x)

satisfies

\dfrac{dy}{dx}=\dfrac{x+2}{(x-1)\sqrt{x+4}}

and passes through

(-3,0)

. Taking into account all restrictions in the expression, what is the maximal open interval on which this particular solution is valid? (a)

(-4,\infty)

(b)

(-\infty,1)

(c)

(-4,1)

(d)

(-4,1]