What is expand (y/x+6x)dx+(ln(x)-2)dy ?

The solution to expand (y/x+6x)dx+(ln(x)-2)dy is (ydx)/x+6xdx+ln(x)dy-2dy

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expand (y/x+6x)dx+(ln(x)-2)dy

expand

(\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

Solution steps

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

Expand

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

Expand

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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What is expand (y/x+6x)dx+(ln(x)-2)dy ?
The solution to expand (y/x+6x)dx+(ln(x)-2)dy is (ydx)/x+6xdx+ln(x)dy-2dy