If y(x) be the solution of differential equation sec y dy/dx + 2x sin y = x^3 cos y and y(1) = 0 then y(√3) is equal to

Question

If y(x) be the solution of differential equation \(sec\,y \frac {dy}{dx}\) + 2x sin y = x³ cos y and y(1) = 0 then y(√3) is equal to

(1) π/4 

(2) π/12 

(3) π/6 

(4) π/3

Answer 1

Correct option is (1) π/4 

⇒ C = 0