What is the solution for y^{''}+17y^'+70y=0 ?

The solution for y^{''}+17y^'+70y=0 is y=c_{1}e^{-7t}+c_{2}e^{-10t}

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y^{''}+17y^'+70y=0

y^{^{''}} + 17 y^{^{'}} + 70 y = 0

y = c_{1} e^{- 7 t} + c_{2} e^{- 10 t}

Solution steps

y^{''} (t) + 17 y^{'} (t) + 70 y = 0

Solve linear ODE:

y = c_{1} e^{- 7 t} + c_{2} e^{- 10 t}

y = c_{1} e^{- 7 t} + c_{2} e^{- 10 t}

(- 5, - 2), (3, - 9)

\int_{0}^{2} (10 x - 5 x^{2}) d x

\int \frac{1}{10 - 0.8 x} d x

y^{^{''}} - 10 y^{^{'}} + 25 y = 4 x e^{5 x}

\frac{\partial}{\partial x} (9 x e^{2 x y})

What is the solution for y^{''}+17y^'+70y=0 ?
The solution for y^{''}+17y^'+70y=0 is y=c_{1}e^{-7t}+c_{2}e^{-10t}