What is expand 2ty-sin(t)+(t^2+e^y)(dy)/(dt) ?

The solution to expand 2ty-sin(t)+(t^2+e^y)(dy)/(dt) is 2ty-sin(t)+t^2(dy)/(dt)+e^y(dy)/(dt)

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expand 2ty-sin(t)+(t^2+e^y)(dy)/(dt)

expand

2 t y - sin (t) + (t^{2} + e^{y}) \frac{d y}{d t}

2 t y - sin (t) + t^{2} \frac{d y}{d t} + e^{y} \frac{d y}{d t}

Solution steps

2 t y - sin (t) + (t^{2} + e^{y}) \frac{d y}{d t}

Expand

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

= 2 t y - sin (t) + t^{2} \frac{d y}{d t} + e^{y} \frac{d y}{d t}

\frac{n ( 5 n + 7 )}{( n + 1 ) ^{2}}

\frac{1}{( s - 4 ) ^{2}}

\frac{d}{d y} ((x) (\frac{x ^{2}}{c ^{2}} - \frac{y ^{9}}{d ^{2}}))

\frac{3336.24}{0.89} - \frac{0.66 x}{0.89}

e^{3 (l n (x) + c)}

What is expand 2ty-sin(t)+(t^2+e^y)(dy)/(dt) ?
The solution to expand 2ty-sin(t)+(t^2+e^y)(dy)/(dt) is 2ty-sin(t)+t^2(dy)/(dt)+e^y(dy)/(dt)