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Model Paper 7 — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsModel Paper 71 Mark
MCQ
Integrating factor of $x \frac{d y}{d x}-y= x ^4-3 x$ is
  • A
    log x
  • B
    x
  • C
    -x
  • ✓
    $\frac{1}{x}$
✓

Answer

Correct option: D.
$\frac{1}{x}$
(d) $\frac{1}{x}$
Explanation: $\frac{d y}{d x}-\frac{y}{x}= x ^3-3$
I.F. $=e^{\int-\frac{1}{x} d x}=e^{-\log x}=e^{\log x^{-1}}=\frac{1}{x}$

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