展开 e^y(1+x^2)dy-2x(1+e^y)dx

解答

展开

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

e^{y} d y + e^{y} x^{2} d y - 2 x d x - 2 e^{y} x d x

求解步骤

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

乘开

e^{y} d y (1 + x^{2}) : e^{y} d y + e^{y} x^{2} d y

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

乘开

- 2 x d x (1 + e^{y}) : - 2 x d x - 2 e^{y} x d x

= e^{y} d y + e^{y} x^{2} d y - 2 x d x - 2 e^{y} x d x

e x p an d [sin (\frac{( 2 n - 1 ) π}{2})]^{n - 1}

d e g 2 r a d [(s + 1) (s^{2} + 4 s + 8)]^{^{'}}

e x p an d \frac{5 s ^{2} + 34 s + 53}{( s + 3 ) ^{2} ( s + 1 )}

s im pl i f y \frac{0.04}{s ^{3} ( s ^{2} + 0.04 )} - \frac{25}{s ^{2} + 0.04}

e x p an d h (h + 1 - h = \frac{1}{2})