展开 (x^2+1)y'(x)+xy-2x

解答

展开

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

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

求解步骤

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

乘开

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

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

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

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

e x p an d \frac{x + 5}{( x + 1 ) ^{2} ( x + 3 )}

e x p an d e^{64 + 48 k} \cdot (48 - 24 k)

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