What is the solution for y^{''}+2sqrt(6)y^'+6y=0,y(0)=1,y^'(0)=0 ?

The solution for y^{''}+2sqrt(6)y^'+6y=0,y(0)=1,y^'(0)=0 is y=e^{-sqrt(6)t}+sqrt(6)e^{-sqrt(6)t}t

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y^{''}+2sqrt(6)y^'+6y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 26 y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y = e^{- 6 t} + 6 e^{- 6 t} t

Solution steps

y^{''} (t) + 26 y^{'} (t) + 6 y = 0

Solve linear ODE:

y = e^{- 6 t} + 6 e^{- 6 t} t

y = e^{- 6 t} + 6 e^{- 6 t} t

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What is the solution for y^{''}+2sqrt(6)y^'+6y=0,y(0)=1,y^'(0)=0 ?
The solution for y^{''}+2sqrt(6)y^'+6y=0,y(0)=1,y^'(0)=0 is y=e^{-sqrt(6)t}+sqrt(6)e^{-sqrt(6)t}t