What is the solution for y^{''}-5y^'-6y=0 ?

The solution for y^{''}-5y^'-6y=0 is y=c_{1}e^{6t}+c_{2}e^{-t}

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y^{''}-5y^'-6y=0

y^{^{''}} - 5 y^{^{'}} - 6 y = 0

y = c_{1} e^{6 t} + c_{2} e^{- t}

Solution steps

y^{''} (t) - 5 y^{'} (t) - 6 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{- t}

y = c_{1} e^{6 t} + c_{2} e^{- t}

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What is the solution for y^{''}-5y^'-6y=0 ?
The solution for y^{''}-5y^'-6y=0 is y=c_{1}e^{6t}+c_{2}e^{-t}