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

The solution to expand (1+y^2)dx+(x^2y+y)dy is dx+y^2dx+yx^2dy+ydy

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expand (1+y^2)dx+(x^2y+y)dy

expand

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

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

Solution steps

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

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

Expand

d x (1 + y^{2}) : d x + y^{2} d x

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

Expand

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

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

\frac{20}{( S + 1 ) ( S ^{2} + 4 S + 13 )}

\frac{x ^{3} + 1}{x ( x - 1 ) ^{3}}

\frac{1}{( x + c ) ( x )}

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

(a + i Δ x)^{2}

What is expand (1+y^2)dx+(x^2y+y)dy ?
The solution to expand (1+y^2)dx+(x^2y+y)dy is dx+y^2dx+yx^2dy+ydy