Question

The integrating factor of the differential equation \((1 + x^{2})dy = (1 - 2xy)dx\) is

• A. \(x^{2} + 1\)
• B. \(\log_{e}(x^{2} + 1)\)
• C. \(\frac{x}{x^{2} + 1}\)
• D. \(x(x^{2} + 1)\)
• E. \(\log_{e}|x|\)

Hint:

For linear DE \(\frac{dy}{dx} + P(x)y = Q(x)\), IF = \(e^{\int P(x)dx}\).

Answer 1

The Correct Option is A