What is expand ((y+xy^3)dx+xdy=0) 3/y ?

The solution to expand ((y+xy^3)dx+xdy=0) 3/y is 3y^2xdx+3dx+(3xdy)/y =0

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expand ((y+xy^3)dx+xdy=0) 3/y

expand

((y + x y^{3}) d x + x d y = 0) \frac{3}{y}

3 y^{2} x d x + 3 d x + \frac{3 x d y}{y} = 0

Solution steps

((y + x y^{3}) d x + x d y = 0) \frac{3}{y}

= \frac{3}{y} ((y + y^{3} x) d x + 0 = x d y)

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{3}{y}, b = (y + x y^{3}) d x, c = x d y = 0

\frac{3}{y} (y + x y^{3}) d x + \frac{3}{y} x d y = 0

\frac{3}{y} (y + y^{3} x) d x + \frac{3}{y} x d y = 0

Expand

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

3 y^{2} x d x + 3 d x + \frac{3 x d y}{y} = 0

A (3, - 3) y B (- 1, - 1)

(- 3 - 4 i)^{6}

\frac{3 x + 5}{( 6 x + 2 ) ( x - 4 )}

(- 3 - 4 i)^{5}

t (1 - (t + 1) e - t)

What is expand ((y+xy^3)dx+xdy=0) 3/y ?
The solution to expand ((y+xy^3)dx+xdy=0) 3/y is 3y^2xdx+3dx+(3xdy)/y =0