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

The solution to expand y(x^2+y^2-1)dx+x(x^2+y^2+1)dy is yx^2dx+y^3dx-ydx+x^3dy+y^2xdy+xdy

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

Expand

y d x (x^{2} + y^{2} - 1) : y x^{2} d x + y^{3} d x - y d x

= y x^{2} d x + y^{3} d x - y d x + x (x^{2} + y^{2} + 1) d y

Expand

x d y (x^{2} + y^{2} + 1) : x^{3} d y + y^{2} x d y + x d y

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

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

(x^{2} + 5) (1 - x)

(x - 9) (3 x^{2} - 12)

\frac{5 a}{( 2 x - a ) ( 3 a - x )}

(x - 19 - 5) (x - 19 + 5)

What is expand y(x^2+y^2-1)dx+x(x^2+y^2+1)dy ?
The solution to expand y(x^2+y^2-1)dx+x(x^2+y^2+1)dy is yx^2dx+y^3dx-ydx+x^3dy+y^2xdy+xdy