What is expand (x+1)dy-(3y+(x+1)^4)dx ?

The solution to expand (x+1)dy-(3y+(x+1)^4)dx is xdy+dy-3ydx-x^4dx-4x^3dx-6x^2dx-4xdx-dx

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expand (x+1)dy-(3y+(x+1)^4)dx

expand

(x + 1) d y - (3 y + (x + 1)^{4}) d x

x d y + d y - 3 y d x - x^{4} d x - 4 x^{3} d x - 6 x^{2} d x - 4 x d x - d x

Solution steps

(x + 1) d y - (3 y + (x + 1)^{4}) d x

Expand

d y (x + 1) : x d y + d y

= x d y + d y - (3 y + (x + 1)^{4}) d x

Expand

- d x (3 y + (x + 1)^{4}) : - 3 y d x - x^{4} d x - 4 x^{3} d x - 6 x^{2} d x - 4 x d x - d x

= x d y + d y - 3 y d x - x^{4} d x - 4 x^{3} d x - 6 x^{2} d x - 4 x d x - d x

, (- 5 - 2 i) - (2 + 3 i)

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

10 \cdot e^{- x} - (10 x + 20) \cdot e

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

e^{c o s (x)} (x - 0.92)

What is expand (x+1)dy-(3y+(x+1)^4)dx ?
The solution to expand (x+1)dy-(3y+(x+1)^4)dx is xdy+dy-3ydx-x^4dx-4x^3dx-6x^2dx-4xdx-dx