展开 (x^2+1)y''(x)-xy'(x)+y

解答

展开

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

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

求解步骤

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

乘开

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

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

s im pl i f y (1 + ρ \cdot e^{i ψ})^{2}

s im pl i f y - \frac{3}{( - 3 v + 2 6 - 3 ) ( 3 v + 2 6 + 3 )}

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

s im pl i f y (1 + \frac{32}{x - 22}) (x - 22)

e x p an d \frac{12}{( x + 4 ) ( x - 3 )}