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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{e ^{- s}}{s ( s ^{2} + 1 )}

\frac{5 x ^{2} - 2 x - 19}{( x + 3 ) ( x - 1 ) ^{2}}

\frac{s}{( s ^{2} + 49 ) ^{2}}

(2 + 3) (5 + 33)

\frac{3 x + 4}{( x + 2 ) ( x - 1 ) ^{2}}

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