What is expand sin(t)-ye^t(-te^{-t}-e^{-t}+1) ?

The solution to expand sin(t)-ye^t(-te^{-t}-e^{-t}+1) is sin(t)+ty+y-e^ty

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expand sin(t)-ye^t(-te^{-t}-e^{-t}+1)

expand

sin (t) - y e^{t} (- t e^{- t} - e^{- t} + 1)

sin (t) + t y + y - e^{t} y

Solution steps

sin (t) - y e^{t} (- t e^{- t} - e^{- t} + 1)

= sin (t) - e^{t} y (- e^{- t} t - e^{- t} + 1)

Expand

- y e^{t} (- t e^{- t} - e^{- t} + 1) : t y + y - e^{t} y

= sin (t) + t y + y - e^{t} y

(x + 5 + x)^{2}

65 (\frac{8 π ^{3}}{3} + \frac{π}{2})

(x^{2} + 4)^{2} (x + 2 i)^{2}

A (- 1, 5) B (5, - 4)

(- 4 x + 5) (\frac{3}{2})

What is expand sin(t)-ye^t(-te^{-t}-e^{-t}+1) ?
The solution to expand sin(t)-ye^t(-te^{-t}-e^{-t}+1) is sin(t)+ty+y-e^ty