JEE Main 2024 Mathematics question
A function y = f(x) satisfies f(x) sin 2x + sin x – (1 + cos²x) f ′(x) = 0 with condition f(0) = 0. Then, f(π/2) is equal to-
Answer: (B)
Solution
The equation is dy/dx − (sin 2x/(1 + cos²x))y = sin x/(1 + cos²x), a linear equation with integrating factor e^{−∫ sin2x/(1 +
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