Q: The solution of differential equation y′ = (xy² − cos x sin x) / (y(1 − x²)), y(0) = 2 is
(a)y²(1 + x²) − cos²x = 3
(b)y²(1 − x²) + cos²x = 5
(c)y²(1 + x²) + cos²x = 7
(d)y²(1 − x²) − cos²x = 3
Correct Answer: (d)
The correct answer is (c): y²(1 + x²) + cos²x = 7. Subject: Mathematics | Sub-topic: Algebra Note: This answer was determined through AI-based research. Verify against the official answer key when available.