What is the solution for y^{''}-2y^'-11y=0 ?

The solution for y^{''}-2y^'-11y=0 is y=c_{1}e^{(1+2sqrt(3))t}+c_{2}e^{(1-2sqrt(3))t}

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y^{''}-2y^'-11y=0

y^{^{''}} - 2 y^{^{'}} - 11 y = 0

y = c_{1} e^{(1 + 23) t} + c_{2} e^{(1 - 23) t}

Solution steps

y^{''} (t) - 2 y^{'} (t) - 11 y = 0

Solve linear ODE:

y = c_{1} e^{(1 + 23) t} + c_{2} e^{(1 - 23) t}

y = c_{1} e^{(1 + 23) t} + c_{2} e^{(1 - 23) t}

s (t) = \frac{5}{t ^{2} + 6 t - 8}

\int \frac{x + 4}{x ^{8}} d x

\frac{d}{d x} (7 x e^{- x})

\frac{d}{d x} (\frac{( 4 x ^{2} + 4 x + 1 )}{( 2 x + 1 )})

x \to 0 lim (\frac{1}{e ^{2 x} - 1})

What is the solution for y^{''}-2y^'-11y=0 ?
The solution for y^{''}-2y^'-11y=0 is y=c_{1}e^{(1+2sqrt(3))t}+c_{2}e^{(1-2sqrt(3))t}