A particular solution of a differential equation can be written as with

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

Problem

A particular solution of a differential equation can be written as y(x)=ln⁡∣x−4∣+Cy(x)=\ln|x-4|+C with y(2)=3y(2)=3. Which of the following intervals is the largest open interval on which this solution is defined? (a) (2,4)(2,4) (b) (4,∞)(4,\infty) (c) (−∞,4)(-\infty,4) (d) (−∞,4](-\infty,4]

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