What is the solution for y^{''}-2y^'-17y=0 ?

The solution for y^{''}-2y^'-17y=0 is y=c_{1}e^{(1+3sqrt(2))t}+c_{2}e^{(1-3sqrt(2))t}

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y^{''}-2y^'-17y=0

y^{^{''}} - 2 y^{^{'}} - 17 y = 0

y = c_{1} e^{(1 + 32) t} + c_{2} e^{(1 - 32) t}

Solution steps

y^{''} (t) - 2 y^{'} (t) - 17 y = 0

Solve linear ODE:

y = c_{1} e^{(1 + 32) t} + c_{2} e^{(1 - 32) t}

y = c_{1} e^{(1 + 32) t} + c_{2} e^{(1 - 32) t}

5 y^{^{''}} - 11 y^{^{'}} + 2 y = 0, y (0) = - 5, y^{^{'}} (0) = - 6.4

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = - 6, y^{^{'}} (0) = 18

y 4 + 3 y^{^{''}} + y = 0

y^{^{''}} + \frac{8}{100} y^{^{'}} + \frac{12}{10000} y = 0

y^{^{''}} - y = 0, y (ln (2)) = 5, y (0) = 1

What is the solution for y^{''}-2y^'-17y=0 ?
The solution for y^{''}-2y^'-17y=0 is y=c_{1}e^{(1+3sqrt(2))t}+c_{2}e^{(1-3sqrt(2))t}