展开 (y/x+6x)dx+(ln(x)-2)dy

解答

展开

(\frac{y}{x} + 6 x) d x + (ln (x) - 2) d y

\frac{y d x}{x} + 6 x d x + ln (x) d y - 2 d y

求解步骤

(\frac{y}{x} + 6 x) d x + (ln (x) - 2) d y

乘开

d x (\frac{y}{x} + 6 x) : \frac{y d x}{x} + 6 x d x

= \frac{y d x}{x} + 6 x d x + (ln (x) - 2) d y

乘开

d y (ln (x) - 2) : ln (x) d y - 2 d y

= \frac{y d x}{x} + 6 x d x + ln (x) d y - 2 d y

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e x p an d (2 x + 2 y) (x + y) cos (x^{2} + 2 x y + y^{2})