What is expand y(1+ln(xy)+2x)dx+(x-2y^2)dy ?

The solution to expand y(1+ln(xy)+2x)dx+(x-2y^2)dy is ydx+yln(yx)dx+2yxdx+xdy-2y^2dy

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expand y(1+ln(xy)+2x)dx+(x-2y^2)dy

expand

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

y d x + y ln (y x) d x + 2 y x d x + x d y - 2 y^{2} d y

Solution steps

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

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

Expand

y d x (1 + ln (x y) + 2 x) : y d x + y ln (y x) d x + 2 y x d x

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

Expand

d y (x - 2 y^{2}) : x d y - 2 y^{2} d y

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

lo g_{(x + 1) (x + 2)} (x)

\frac{5}{s ( s + 2 ) ( 0.5 s + 1 )}

\frac{3 x ( x - 2 y )}{4 x ^{2} y + 3}

(- 4 x - 15 y = - 1, 7) - (- 4 x + 20 y = - 52)

(2 x^{3} - 1) (x + 2) d x

What is expand y(1+ln(xy)+2x)dx+(x-2y^2)dy ?
The solution to expand y(1+ln(xy)+2x)dx+(x-2y^2)dy is ydx+yln(yx)dx+2yxdx+xdy-2y^2dy