Question:medium

The integrating factor of following differential equation is : $\frac{dy}{dx}-\frac{3x^{2}-1}{x^{3}-x}y=x^{2}-1$}

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Whenever the integrand is of the form $f'(x)/f(x)$, the integral is simply $\ln(f(x))$. This pattern appears very frequently in integrating factor problems.
Updated On: May 20, 2026
  • $\frac{1}{x^{2}-1}$
  • $\frac{1}{log(x^{3}-x)}$
  • $\frac{1}{x^{3}-x}$
  • $\frac{3x^{2}-1}{x^{3}-x}$
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The Correct Option is C

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