What is expand ((y+x^2)dx)/(dt) ?

The solution to expand ((y+x^2)dx)/(dt) is (ydx)/(dt)+(x^2dx)/(dt)

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expand ((y+x^2)dx)/(dt)

expand

\frac{( y + x ^{2} ) d x}{d t}

\frac{y d x}{d t} + \frac{x ^{2} d x}{d t}

Solution steps

\frac{( y + x ^{2} ) d x}{d t}

Expand

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

= \frac{y d x + x ^{2} d x}{d t}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{y d x + x ^{2} d x}{d t} = \frac{y d x}{d t} + \frac{x ^{2} d x}{d t}

= \frac{y d x}{d t} + \frac{x ^{2} d x}{d t}

\frac{1}{( x ^{2} - 3 x - 2 ) ^{5}}

\frac{e ^{x} x}{( 1 + x ) ^{2}}

\frac{1}{( x + 1 ) ^{2} ( x - 2 ) ^{3}}

(x + y = 2,) (x^{(2)} + y^{(2)} = 4)

- e^{t} \cdot (2 e^{t} + 8 t e^{t})

What is expand ((y+x^2)dx)/(dt) ?
The solution to expand ((y+x^2)dx)/(dt) is (ydx)/(dt)+(x^2dx)/(dt)