What is expand (1-3/y+x)dy+(y-3/x+1)dx ?

The solution to expand (1-3/y+x)dy+(y-3/x+1)dx is dy-(3dy)/y+xdy+ydx-(3dx)/x+dx

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expand (1-3/y+x)dy+(y-3/x+1)dx

expand

(1 - \frac{3}{y} + x) d y + (y - \frac{3}{x} + 1) d x

d y - \frac{3 d y}{y} + x d y + y d x - \frac{3 d x}{x} + d x

Solution steps

(1 - \frac{3}{y} + x) d y + (y - \frac{3}{x} + 1) d x

Expand

d y (1 - \frac{3}{y} + x) : d y - \frac{3 d y}{y} + x d y

= d y - \frac{3 d y}{y} + x d y + (y - \frac{3}{x} + 1) d x

Expand

d x (y - \frac{3}{x} + 1) : y d x - \frac{3 d x}{x} + d x

= d y - \frac{3 d y}{y} + x d y + y d x - \frac{3 d x}{x} + d x

tan (\frac{( 1 - 2 x ) π}{x - 1})

(1 + c e^{2 x})^{2}

\frac{1}{2} (- 3 ln (2) - 1)

\frac{2 π s}{( s ^{2} + π ^{2} ) ^{2}}

\frac{( 2 x - 3 ) ^{2}}{3}

What is expand (1-3/y+x)dy+(y-3/x+1)dx ?
The solution to expand (1-3/y+x)dy+(y-3/x+1)dx is dy-(3dy)/y+xdy+ydx-(3dx)/x+dx