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

The solution for y^{''}+6y^'-5y=0 is y=c_{1}e^{(-3+sqrt(14))t}+c_{2}e^{(-3-sqrt(14))t}

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

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

y = c_{1} e^{(- 3 + 14) t} + c_{2} e^{(- 3 - 14) t}

Solution steps

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

Solve linear ODE:

y = c_{1} e^{(- 3 + 14) t} + c_{2} e^{(- 3 - 14) t}

y = c_{1} e^{(- 3 + 14) t} + c_{2} e^{(- 3 - 14) t}

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What is the solution for y^{''}+6y^'-5y=0 ?
The solution for y^{''}+6y^'-5y=0 is y=c_{1}e^{(-3+sqrt(14))t}+c_{2}e^{(-3-sqrt(14))t}