What is the solution for y^{''}+4sqrt(6)y^'+24y=0 ?

The solution for y^{''}+4sqrt(6)y^'+24y=0 is y=c_{1}e^{-2sqrt(6)t}+c_{2}te^{-2sqrt(6)t}

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y^{''}+4sqrt(6)y^'+24y=0

y^{^{''}} + 46 y^{^{'}} + 24 y = 0

y = c_{1} e^{- 26 t} + c_{2} t e^{- 26 t}

Solution steps

y^{''} (t) + 46 y^{'} (t) + 24 y = 0

Solve linear ODE:

y = c_{1} e^{- 26 t} + c_{2} t e^{- 26 t}

y = c_{1} e^{- 26 t} + c_{2} t e^{- 26 t}

\frac{d}{d x} (cot (x^{3}))

x \to 0 lim (+ (\frac{1}{x}))

(x^{2} - 1) y^{^{'}} + 2 x y^{2} = 0

\frac{d}{d θ} (6 cos (θ) cos (θ))

n = 1 \sum \infty \frac{4}{n ( n + 1 )}

What is the solution for y^{''}+4sqrt(6)y^'+24y=0 ?
The solution for y^{''}+4sqrt(6)y^'+24y=0 is y=c_{1}e^{-2sqrt(6)t}+c_{2}te^{-2sqrt(6)t}