A particular solution of a differential equation is given by and passes through the point

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A particular solution of a differential equation is given by

y(x)=\ln|x-2|-\dfrac{1}{x+1}+C

and passes through the point

(0,3)

. Which of the following intervals is the largest open interval on which the solution is defined? (a)

(-\infty,2)

(b)

(2,\infty)

(c)

(-1,2)

(d)

(-1,\infty)