What is the solution for (d^2y)/(dt^2)+2(dy)/(dt)+y=2 ?

The solution for (d^2y)/(dt^2)+2(dy)/(dt)+y=2 is y=c_{1}e^{-t}+c_{2}te^{-t}+2

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(d^2y)/(dt^2)+2(dy)/(dt)+y=2

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

y = c_{1} e^{- t} + c_{2} t e^{- t} + 2

Solution steps

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} t e^{- t} + 2

y = c_{1} e^{- t} + c_{2} t e^{- t} + 2

\int m \frac{d}{1} (v) (v) d x

\int \frac{1}{a - x} d x

\int (x + 2) 4 x + x^{2} d x

\frac{\partial}{\partial z} (2 x^{2} + 2 yz)

x \to - 1 lim (2 x^{3} - 4)

What is the solution for (d^2y)/(dt^2)+2(dy)/(dt)+y=2 ?
The solution for (d^2y)/(dt^2)+2(dy)/(dt)+y=2 is y=c_{1}e^{-t}+c_{2}te^{-t}+2