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Popular >

expand (1-x^2)y''(x)-2xy'(x)+a(a+1)y

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Expand

a y (x) (a + 1) : a^{2} y + a y (x)

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

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Frequently Asked Questions (FAQ)

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