What is expand (2x^3y^4+5x)dx+(2x^{m+1}y^n+y^3)dy ?

The solution to expand (2x^3y^4+5x)dx+(2x^{m+1}y^n+y^3)dy is 2x^3y^4dx+5xdx+2y^nx^{m+1}dy+y^3dy

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expand (2x^3y^4+5x)dx+(2x^{m+1}y^n+y^3)dy

expand

(2 x^{3} y^{4} + 5 x) d x + (2 x^{m + 1} y^{n} + y^{3}) d y

2 x^{3} y^{4} d x + 5 x d x + 2 y^{n} x^{m + 1} d y + y^{3} d y

Solution steps

(2 x^{3} y^{4} + 5 x) d x + (2 x^{m + 1} y^{n} + y^{3}) d y

= (2 x^{3} y^{4} + 5 x) d x + (2 y^{n} x^{m + 1} + y^{3}) d y

Expand

d x (2 x^{3} y^{4} + 5 x) : 2 x^{3} y^{4} d x + 5 x d x

= 2 x^{3} y^{4} d x + 5 x d x + (2 x^{m + 1} y^{n} + y^{3}) d y

Expand

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

= 2 x^{3} y^{4} d x + 5 x d x + 2 y^{n} x^{m + 1} d y + y^{3} d y

(2) (5 x + e^{x})

so l v e (x - 2) (x + 3) (x^{2} - 4 x - 1)

(t - 3) e (- s t)

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

(v + 6) (d v + y d y)

What is expand (2x^3y^4+5x)dx+(2x^{m+1}y^n+y^3)dy ?
The solution to expand (2x^3y^4+5x)dx+(2x^{m+1}y^n+y^3)dy is 2x^3y^4dx+5xdx+2y^nx^{m+1}dy+y^3dy