If you have the Symbolic Toolbox, you can use
syms A B x y
sol := solve(Equation, y);
The solution you get will be a RootOf() a quartic (polynomial of order 4), so there are 4 solutions, some of which might be imaginary at portions of the range x = 0 to 1. You can convert this to a function by using
Y = matlabFunction(sol, 'vars', [x A B]);
after which Y will be a function handle of a function that takes 3 parameters in the order x, A, B, and which should accept a vector of x values.