展开 (1-y)e^y(dy)/(dx)+(y^2)/(xln(x))

解答

展开

(1 - y) e^{y} \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

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

求解步骤

(1 - y) e^{y} \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

= e^{y} (1 - y) \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

乘开

e^{y} \frac{d y}{d x} (1 - y) : e^{y} \frac{d y}{d x} - e^{y} y \frac{d y}{d x}

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

e x p an d \frac{( s + 2 ) e ^{- s}}{s ( s ^{2} + 4 s + 3 )}

e x p an d (3 x - 2 y = 1, 1) (- 2 x + 2 y = - 8)

e x p an d (1000000 x - 10000000) e^{0.001 x}

e x p an d (x) e^{x^{2}} (x^{2} + 7)^{10}

e x p an d \frac{5 ( 131 + 14521 )}{22}