What is expand e^t+(e^tcot(x)+2xcsc(x))(dx)/(dt) ?

The solution to expand e^t+(e^tcot(x)+2xcsc(x))(dx)/(dt) is e^t+e^tcot(x)(dx)/(dt)+2csc(x)(dx)/(dt)x

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expand e^t+(e^tcot(x)+2xcsc(x))(dx)/(dt)

expand

e^{t} + (e^{t} cot (x) + 2 x csc (x)) \frac{d x}{d t}

e^{t} + e^{t} cot (x) \frac{d x}{d t} + 2 csc (x) \frac{d x}{d t} x

Solution steps

e^{t} + (e^{t} cot (x) + 2 x csc (x)) \frac{d x}{d t}

= e^{t} + (e^{t} cot (x) + 2 csc (x) x) \frac{d x}{d t}

Expand

\frac{d x}{d t} (e^{t} cot (x) + 2 x csc (x)) : e^{t} cot (x) \frac{d x}{d t} + 2 csc (x) \frac{d x}{d t} x

= e^{t} + e^{t} cot (x) \frac{d x}{d t} + 2 csc (x) \frac{d x}{d t} x

\frac{1}{x \cdot ( a \cdot x + 1 ) ^{2}}

\frac{( 2 p x + w x ^{2} ) x}{2}

2 ((x + h) - f (x))^{2} - 1

12 π (36 - r^{2})

\frac{12 x ^{3} + 90 x ^{2} - 72 x + 138}{( x ^{2} - 2 x - 3 ) ^{3}}

What is expand e^t+(e^tcot(x)+2xcsc(x))(dx)/(dt) ?
The solution to expand e^t+(e^tcot(x)+2xcsc(x))(dx)/(dt) is e^t+e^tcot(x)(dx)/(dt)+2csc(x)(dx)/(dt)x