展开 ((dx)/y)-(2y-x/(y^2))dy

解答

展开

(\frac{d x}{y}) - (2 y - \frac{x}{y ^{2}}) d y

\frac{d x}{y} - 2 y d y + \frac{x d y}{y ^{2}}

求解步骤

(\frac{d x}{y}) - (2 y - \frac{x}{y ^{2}}) d y

乘开

- d y (2 y - \frac{x}{y ^{2}}) : - 2 y d y + \frac{x d y}{y ^{2}}

= (\frac{d x}{y}) - 2 y d y + \frac{x d y}{y ^{2}}

去除括号:

(a) = a

= \frac{d x}{y} - 2 y d y + \frac{x d y}{y ^{2}}

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

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

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

e x p an d \frac{x + 7}{x ^{2} ( x + 2 )}

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