What is expand x^2y''(x)+xy'(x)+(x^2-1/4)y-x^{3/2} ?

The solution to expand x^2y''(x)+xy'(x)+(x^2-1/4)y-x^{3/2} is x^2y''(x)+xy'(x)+x^2y-y/4-x^{3/2}

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expand x^2y''(x)+xy'(x)+(x^2-1/4)y-x^{3/2}

expand

x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - \frac{1}{4}) y - x^{\frac{3}{2}}

x^{2} y'' (x) + x y' (x) + x^{2} y - \frac{y}{4} - x^{\frac{3}{2}}

Solution steps

x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - \frac{1}{4}) y - x^{\frac{3}{2}}

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} - x^{\frac{3}{2}}

(t - a)^{2} + e^{- a t} - 2 cos (a t)

ln (x) (x - 1)^{2}

\frac{2}{5} y - \frac{3}{10} y

(5 i, 3 j, 2 k) (- 4 i, - 1 j, - 5 k)

\frac{1}{( s + 2 ) ( rcs + 1 )}

What is expand x^2y''(x)+xy'(x)+(x^2-1/4)y-x^{3/2} ?
The solution to expand x^2y''(x)+xy'(x)+(x^2-1/4)y-x^{3/2} is x^2y''(x)+xy'(x)+x^2y-y/4-x^{3/2}