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The integrating factor of the differential equation $x \frac{d y}{d x}-y=2 x^2$ is
(a) $\mathrm{e}^{-\mathrm{x}}$
(b) $e^{-y}$
(c) $1 / x$
(d) $\mathrm{x}$
(a) $\mathrm{e}^{-\mathrm{x}}$
(b) $e^{-y}$
(c) $1 / x$
(d) $\mathrm{x}$
Solution:
1631 Upvotes
Verified Answer
(c) $\mathrm{P}=\frac{-1}{x} \therefore \mathrm{IF}=e^{-\int \frac{1}{x} d x}=e^{-\log x}=\frac{1}{x}$
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