What is expand x^2y''(x)-x(x+2)y'(x)+(x+2)y ?

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

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expand x^2y''(x)-x(x+2)y'(x)+(x+2)y

expand

x^{2} y^{''} (x) - x (x + 2) y^{'} (x) + (x + 2) y

x^{2} y'' (x) - x^{2} y' (x) - 2 x y' (x) + x y + 2 y

Solution steps

x^{2} y^{''} (x) - x (x + 2) y^{'} (x) + (x + 2) y

Expand

- x y^{'} (x) (x + 2) : - x^{2} y^{'} (x) - 2 x y^{'} (x)

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

Expand

y (x + 2) : x y + 2 y

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

sin (a) (tan (a) + csc (a))

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

(5 - 11) (7 + 23)

3 x^{2} y d x - (3 x^{3} - y^{3}) d y

(1 - cos (x)) (1 + sec (x) cot (x) = sin (x))

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