What is expand (1+x^4)dy+x(1+4y^2)dx ?

The solution to expand (1+x^4)dy+x(1+4y^2)dx is dy+x^4dy+xdx+4xy^2dx

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expand (1+x^4)dy+x(1+4y^2)dx

expand

(1 + x^{4}) d y + x (1 + 4 y^{2}) d x

d y + x^{4} d y + x d x + 4 x y^{2} d x

Solution steps

(1 + x^{4}) d y + x (1 + 4 y^{2}) d x

Expand

d y (1 + x^{4}) : d y + x^{4} d y

= d y + x^{4} d y + x (1 + 4 y^{2}) d x

Expand

x d x (1 + 4 y^{2}) : x d x + 4 x y^{2} d x

= d y + x^{4} d y + x d x + 4 x y^{2} d x

- 3 cos ((2 x^{3} + 2)^{3})

(sin (x))^{4}

x (- 2 + 3)

A (5, 8) B (- 1, - 4)

\frac{( x - 2 ) ( x + 5 )}{( x - 8 )}

What is expand (1+x^4)dy+x(1+4y^2)dx ?
The solution to expand (1+x^4)dy+x(1+4y^2)dx is dy+x^4dy+xdx+4xy^2dx