1.

The solution of the differential equation (1-x^(2)).(dy)/(dx)+xy=(x-x^(3))y^((1)/(2)), is(AA|x| lt1)sqrt(9y)=-f(x)=c(1-x^2)^((1)/(4)), where c is an arbitrary constant and f((1)/(2))=(3)/(4). Then f(x) is

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an ODD function
an even function
a periodic function
symmetric about line X = 1

Answer :B


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