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

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

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

expand

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

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

Solution steps

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

Expand

- 4 y (x - 1) : - 4 x y + 4 y

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

Simplify

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

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

π (x - 2)^{2} \cdot (3 x - 4)

(2 x - y = H (x, y)) d H (x, y)

\frac{( 16 - x ) ^{2} x}{32}

(1 + cos (x))^{4} \cdot sin (x)

\frac{1}{10} (e^{x} - e^{- x})

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