Volterra equation of first kind

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My given question:

$x^2=\int_0^x \sin a (x-t)y(t)dt$ ; where $a\ne 0$

My attempt: Knowing this is first kind Volterra, I make my way to second kind through differentiation, using Leibniz for the right:

$2x=\sin a \int_0^x y(t)dt$

Not really 2nd form, yet differentiation once more seems to find $y(x)$ inductively thinking. Using the idea of 'Fundamental Theorem of Calculus':

$2=y(x)\sin a $

hence,

$y(x)=\frac{2}{\sin a}$

My thought process sort of runs dry here.