What is expand x^2y''(x)+xy'(x)+(x^2-1/4)y ?

The solution to expand x^2y''(x)+xy'(x)+(x^2-1/4)y is x^2y''(x)+xy'(x)+x^2y-y/4

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expand x^2y''(x)+xy'(x)+(x^2-1/4)y

expand

x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - \frac{1}{4}) y

x^{2} y'' (x) + x y' (x) + x^{2} y - \frac{y}{4}

Solution steps

x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - \frac{1}{4}) y

Expand

y (x^{2} - \frac{1}{4}) : x^{2} y - \frac{y}{4}

= x^{2} y^{''} (x) + x y^{'} (x) + x^{2} y - \frac{y}{4}

\frac{( x - 2 ) ( - 3 x + 180 )}{x}

\frac{( s + 1 )}{( s + 2 ) \cdot ( s + 4 )}

\frac{s + 5}{( s + 4 ) ( s + 1 )}

(9 x - 2 y = 1, 1) (5) (4 x - 5 y = 9) (- 2)

\frac{( S + 1.5 ) ( S - 3 )}{( S + 3 ) ( S + 2 ) ( S + 1 )}

What is expand x^2y''(x)+xy'(x)+(x^2-1/4)y ?
The solution to expand x^2y''(x)+xy'(x)+(x^2-1/4)y is x^2y''(x)+xy'(x)+x^2y-y/4