What is the solution for 0.1*y^{''}+y^'+y=0 ?

The solution for 0.1*y^{''}+y^'+y=0 is y=c_{1}e^{(-5+sqrt(15))t}+c_{2}e^{(-5-sqrt(15))t}

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0.1*y^{''}+y^'+y=0

0.1 \cdot y^{^{''}} + y^{^{'}} + y = 0

y = c_{1} e^{(- 5 + 15) t} + c_{2} e^{(- 5 - 15) t}

Solution steps

0.1 \cdot y^{''} (t) + y^{'} (t) + y = 0

Solve linear ODE:

y = c_{1} e^{(- 5 + 15) t} + c_{2} e^{(- 5 - 15) t}

y = c_{1} e^{(- 5 + 15) t} + c_{2} e^{(- 5 - 15) t}

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

x^{^{''}} + 60 x^{^{'}} + 500 x = 0

10 y^{^{''''}} + 53 y^{^{''}} + 36 y = 0

6 y^{^{''}} - 5 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - 1

\frac{d ^{2} y}{d x ^{2}} = 3 y

What is the solution for 0.1*y^{''}+y^'+y=0 ?
The solution for 0.1*y^{''}+y^'+y=0 is y=c_{1}e^{(-5+sqrt(15))t}+c_{2}e^{(-5-sqrt(15))t}