展开 (y^2+3x)dx+(e^x)dy

解答

展开

(y^{2} + 3 x) d x + (e^{x}) d y

y^{2} d x + 3 x d x + e^{x} d y

求解步骤

(y^{2} + 3 x) d x + (e^{x}) d y

乘开

d x (y^{2} + 3 x) : y^{2} d x + 3 x d x

= y^{2} d x + 3 x d x + (e^{x}) d y

去除括号:

(a) = a

= y^{2} d x + 3 x d x + e^{x} d y

e x p an d (1, i) (2 - 1, 3 + 2 i)

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

e x p an d e^{x} (x^{3} - 3 x)

e x p an d \frac{1}{x ( a - b ln ( x ) )}

e x p an d 9 (e^{x} + cos (3 x) + sin (3 x))