If the solution of the differential equation xy' = y + x2 sin x subject to the condition y(π) = 0 is y = f(x) and f(x) has an extreme value at x = a then

1
a cos a + 2
2
a = (2n - 1) \(\rm\frac{\pi}{2}\), n ∈ Z
3
cos\(\rm\frac{a}{2}=1\)
4
a =  cot\(\rm\frac{a}{2}\)

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