展开 (1-x^2)y''(x)-10xy'(x)-6y

解答

展开

(1 - x^{2}) y^{''} (x) - 10 x y^{'} (x) - 6 y

y'' (x) - x^{2} y'' (x) - 10 x y' (x) - 6 y

求解步骤

(1 - x^{2}) y^{''} (x) - 10 x y^{'} (x) - 6 y

乘开

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

= y^{''} (x) - x^{2} y^{''} (x) - 10 x y^{'} (x) - 6 y

e x p an d \frac{1}{s ( s + 5 ) ( s + 10 )}

s im pl i f y (2 x - a + 1) (2 x + \frac{1}{5} - 3 a)

e x p an d (\frac{1}{2 x} - 4)^{11}

s im pl i f y (a - \frac{1}{b}) \cdot (a + \frac{1}{b})

e x p an d \frac{( s + 2 ) ( 2 s + 1 )}{( 3 s - 1 ) ( s - 3 )}