What is expand (x-1)y''(x)+y'(x)+2(x-1)y ?

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

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expand (x-1)y''(x)+y'(x)+2(x-1)y

expand

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

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

Solution steps

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

Expand

y^{''} (x) (x - 1) : x y^{''} (x) - y^{''} (x)

= x y^{''} (x) - y^{''} (x) + y^{'} (x) + 2 (x - 1) y

Expand

2 y (x - 1) : 2 x y - 2 y

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

(e^{3 t} + 4 e^{- 2 t})^{2}

5 (3 + π)

A (5, 1) y B (7, - 7)

cos (x) (sin (x) + 1)

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