Consider the differential equation

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

Problem

Consider the differential equation dydx=1x−4\frac{dy}{dx}=\dfrac{1}{x-4}. A particular solution satisfies y(5)=7y(5)=7. Which interval is a valid maximal domain for this solution? (a) (−∞,∞)(-\infty,\infty) (b) (−∞,4)(-\infty,4) (c) (4,∞)(4,\infty) (d) (0,∞)(0,\infty)

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