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Class 12 Differential Equations · Assertion Reason1 Marksintegrating_factors

Class 12 Maths · Differential Equations · Assertion Reason #24

Assertion (A): An integrating factor of dx/dy + x tan y = sec²y is sec y. Reason (R): For dx/dy + Px = Q, an integrating factor is exp(∫P dy).

(A) Both A and R are true, and R correctly explains A.
(B) Both A and R are true, but R does not correctly explain A.
(C) A is true but R is false.
(D) A is false but R is true.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.

On cos y ≠ 0, exp(∫tan y dy) is proportional to sec y on a connected interval. R directly establishes A.

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