Bessel equation with boundary condition

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I've already asked a question about solving the equation $x y'' + y' +k x y=0$ and I was suggested to use Bessel equation by multiplying the equation by x. the answer is $a J 0(\sqrt{k} x) +b Y 0(\sqrt{k} x)$ ,now what if it had boundary condition like y(1)=0,how can we find the constants a and b? Thanks.