What is expand (y^2+xy^3)dx+(5y^2-xy+y^3sin(y)dy) ?

The solution to expand (y^2+xy^3)dx+(5y^2-xy+y^3sin(y)dy) is y^2dx+y^3xdx+5y^2-xy+y^3sin(y)dy

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expand (y^2+xy^3)dx+(5y^2-xy+y^3sin(y)dy)

expand

(y^{2} + x y^{3}) d x + (5 y^{2} - x y + y^{3} sin (y) d y)

y^{2} d x + y^{3} x d x + 5 y^{2} - x y + y^{3} sin (y) d y

Solution steps

(y^{2} + x y^{3}) d x + (5 y^{2} - x y + y^{3} sin (y) d y)

= (y^{2} + y^{3} x) d x + (5 y^{2} - y x + y^{3} sin (y) d y)

Expand

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

= y^{2} d x + y^{3} x d x + (5 y^{2} - x y + y^{3} sin (y) d y)

Remove parentheses:

(a) = a

= y^{2} d x + y^{3} x d x + 5 y^{2} - x y + y^{3} sin (y) d y

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

, (2 + \frac{2}{7}) (1 + \frac{1}{6}) (2 + \frac{2}{3}) \cdot \frac{1}{8}

cos (x + y) (1 + y^{'} (x))

(2 z - 6 w (z) = 0,) (- z + 2 w (z) = - 8)

\frac{( 49 s ^{2} + 2 ( 7 s + 1 ) )}{s ^{3}}

What is expand (y^2+xy^3)dx+(5y^2-xy+y^3sin(y)dy) ?
The solution to expand (y^2+xy^3)dx+(5y^2-xy+y^3sin(y)dy) is y^2dx+y^3xdx+5y^2-xy+y^3sin(y)dy