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CBSE Class 12 Mathematics 2026 Main Paper 65/1/3 · Q151 Marksdifferential_equations

CBSE Class 12 Mathematics 2026 Main Paper 65/1/3 · Question 15 (Differential Equations)

The integrating factor of differential equation R dx/dy + P x = Q, where P, Q, R are functions of y is

(A) e∫ P/Q dy
(B) e∫ P dy
(C) e∫ P/R dy
(D) e∫ P/R dx

✅ Step-by-Step Solution

Final Answer: (C) e∫ P/R dy

Rewrite: dx/dy + (P/R)x = Q/R.
IF = e∫(P/R) dy.

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