Reducing the order of differential equations

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How the following 4th order linear differential equation can be reduced to two 2nd order differential equations, if possible. $a$ and $b$ are constants.

$$X^2 Y^{(4)}(X) + 2 (a+2) X Y^{(3)}(X) + (a+2) (a+1) Y''(X) - b^4 Y(X) = 0$$