What is expand (3+(-5x))y''(x)+(5x)y'(x)+3y ?

The solution to expand (3+(-5x))y''(x)+(5x)y'(x)+3y is 3y''(x)-5xy''(x)+5xy'(x)+3y

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expand (3+(-5x))y''(x)+(5x)y'(x)+3y

expand

(3 + (- 5 x)) y^{''} (x) + (5 x) y^{'} (x) + 3 y

3 y'' (x) - 5 x y'' (x) + 5 x y' (x) + 3 y

Solution steps

(3 + (- 5 x)) y^{''} (x) + (5 x) y^{'} (x) + 3 y

Expand

y^{''} (x) (3 + (- 5 x)) : 3 y^{''} (x) - 5 x y^{''} (x)

= 3 y^{''} (x) - 5 x y^{''} (x) + (5 x) y^{'} (x) + 3 y

Remove parentheses:

(a) = a

= 3 y^{^{''}} (x) - 5 x y^{^{''}} (x) + 5 x y^{^{'}} (x) + 3 y

(r^{2} + 5 r) (34 - 5 + r)

(1 - x) y^{''} (x) - 4 x y^{'} (x) + 5 y

(2 x y^{3} - 2 y) d x + (3 x^{2} y^{2} - 4 x y) d y

(\frac{2}{5} a + 3 b)^{2}

(y + e^{x}) d x

What is expand (3+(-5x))y''(x)+(5x)y'(x)+3y ?
The solution to expand (3+(-5x))y''(x)+(5x)y'(x)+3y is 3y''(x)-5xy''(x)+5xy'(x)+3y