A differential equation admits the particular solution that satisfies

MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

A differential equation admits the particular solution y(x)=1x−3−5y(x)=\dfrac{1}{x-3}-5 that satisfies y(2)=−6y(2)=-6. Determine the largest open interval containing x=2x=2 on which the solution is defined. (a) (3,∞)(3,\infty) (b) (−∞,3)(-\infty,3) (c) (2,∞)(2,\infty) (d) (−∞,∞)(-\infty,\infty)

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