What is ((y+xy^3)dx+xdy=0)x^{-3}y^3 ?

The solution to ((y+xy^3)dx+xdy=0)x^{-3}y^3 is 1/(x^3)y^3(0=xdy+dx(y^3x+y))

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simplify ((y+xy^3)dx+xdy=0)x^{-3}y^3

simplify

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

\frac{1}{x ^{3}} y^{3} (0 = x d y + d x (y^{3} x + y))

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{3}} y^{3} (0 = x d y + (y^{3} x + y) d x)

12.4 \cdot 1 0^{- 3}

(7 y)^{2}

What is ((y+xy^3)dx+xdy=0)x^{-3}y^3 ?
The solution to ((y+xy^3)dx+xdy=0)x^{-3}y^3 is 1/(x^3)y^3(0=xdy+dx(y^3x+y))