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

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

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

expand

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

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

Solution steps

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

Expand

d x (y + 2) : y d x + 2 d x

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

Expand

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

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

\frac{x ^{2} + 8 x + 1}{( x + 1 ) ^{2}}

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

e^{(- 3 + 2.646 i) \cdot 0.1}

A (- 9, - 4) C (- 1, - 6) E (- 4, - 3)

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

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