What is the solution for y^{''}=6.1e^{(-2.7t)} ?

The solution for y^{''}=6.1e^{(-2.7t)} is y=0.83676…e^{-2.7t}+c_{1}t+c_{2}

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y^{''}=6.1e^{(-2.7t)}

y^{^{''}} = 6.1 e^{(- 2.7 t)}

y = 0.83676 \dots e^{- 2.7 t} + c_{1} t + c_{2}

Solution steps

y^{''} (t) = 6.1 e^{(- 2.7 t)}

Solve

y^{''} (t) = 6.1 e^{- 2.7 t} : y^{'} (t) = - 2.25925 \dots e^{- 2.7 t} + c_{1}

Solve

y^{'} (t) = - 2.25925 \dots e^{- 2.7 t} + c_{1} : y = 0.83676 \dots e^{- 2.7 t} + c_{1} t + c_{2}

y = 0.83676 \dots e^{- 2.7 t} + c_{1} t + c_{2}

ln (x^{2} - 24) = x - y + 6, (- 5, 1)

\int (x^{2} - 5 x + 5) d x

y^{^{''}} + y = - sin (2 t)

\frac{d}{d x} (\frac{5}{4 x - 3})

\int 2 (sin (x) - cos (x) + 1) d x

What is the solution for y^{''}=6.1e^{(-2.7t)} ?
The solution for y^{''}=6.1e^{(-2.7t)} is y=0.83676…e^{-2.7t}+c_{1}t+c_{2}