Consider the homogeneous ordinary differential equation  \({x^2}\frac{{{d^2}y}}{{d{x^2}}} - 3x\frac{{dy}}{{dx}} + 3y = 0,\)   x > 0 with y(x) as a general solution. Given that  y(1) = 1 and y(2) = 14 the value of y(1.5), rounded off to two decimal places, is ______.

Enter numerical value using the virtual keypad. Round off where necessary.

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