What is expand (xy^2-x^2y)dx+(2x^2y+x^3)dy ?

The solution to expand (xy^2-x^2y)dx+(2x^2y+x^3)dy is xy^2dx-x^2ydx+2x^2ydy+x^3dy

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expand (xy^2-x^2y)dx+(2x^2y+x^3)dy

expand

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

x y^{2} d x - x^{2} y d x + 2 x^{2} y d y + x^{3} d y

Solution steps

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

Expand

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

= x y^{2} d x - x^{2} y d x + (2 x^{2} y + x^{3}) d y

Expand

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

= x y^{2} d x - x^{2} y d x + 2 x^{2} y d y + x^{3} d y

(- \frac{1}{2} - x) (- \frac{1}{8} - x)

7 (6 - 10)

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

(r cos^{2} (θ) + r sin^{2} (θ))^{2}

(1 + e^{- 3 t} + e^{2 t}) \cdot (e^{t} + 2 e^{2 t} - e^{- t})

What is expand (xy^2-x^2y)dx+(2x^2y+x^3)dy ?
The solution to expand (xy^2-x^2y)dx+(2x^2y+x^3)dy is xy^2dx-x^2ydx+2x^2ydy+x^3dy