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The integrating factor of the differential equation is:

Mathematics20251 markMCQ
The integrating factor of the differential equation $(1 - x^2)\frac{dy}{dx} + xy = ax$ is:
  • (a)$\sqrt{1 - x^2}$
  • (b)$\frac{1}{\sqrt{1 - x^2}}$
  • (c)$-\frac{x}{\sqrt{1 - x^2}}$
  • (d)$-\sqrt{1 - x^2}$

Answer

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Differential Equations

From ISC 2025 Improvement Mathematics Paper 1, question 1(vi).