What is expand (3x^2e^y+x)dx+(x^3+2)eydy ?

The solution to expand (3x^2e^y+x)dx+(x^3+2)eydy is 3e^yx^2dx+xdx+ex^3ydy+2eydy

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expand (3x^2e^y+x)dx+(x^3+2)eydy

expand

(3 x^{2} e^{y} + x) d x + (x^{3} + 2) ey d y

3 e^{y} x^{2} d x + x d x + e x^{3} y d y + 2 ey d y

Solution steps

(3 x^{2} e^{y} + x) d x + (x^{3} + 2) ey d y

= (3 e^{y} x^{2} + x) d x + ey (x^{3} + 2) d y

Expand

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

= 3 e^{y} x^{2} d x + x d x + (x^{3} + 2) ey d y

Expand

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

= 3 e^{y} x^{2} d x + x d x + e x^{3} y d y + 2 ey d y

\frac{( 50 + t ) ^{3}}{c}

A (7 + 3) + B (7 - 3)

\frac{a ^{3}}{( a - 1 ) ^{2}}

\frac{2}{( s + 3 ) ( s ^{2} + 4 )}

(i w + 5) (i w - 1) (i w - 2)

What is expand (3x^2e^y+x)dx+(x^3+2)eydy ?
The solution to expand (3x^2e^y+x)dx+(x^3+2)eydy is 3e^yx^2dx+xdx+ex^3ydy+2eydy