What is the solution for 0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0 ?

The solution for 0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0 is

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0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0

0.1 y^{^{''}} + y^{^{'}} + y = 0, y (0) = 1, y (1) = 0

y = (1 - \frac{e ^{15 - 5}}{- e ^{- 5 - 15} + e ^{15 - 5}}) e^{(- 5 + 15) t} + \frac{e ^{15 - 5}}{- e ^{- 5 - 15} + e ^{15 - 5}} e^{(- 5 - 15) t}

Solution steps

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

Solve linear ODE:

y = (1 - \frac{e ^{15 - 5}}{- e ^{- 5 - 15} + e ^{15 - 5}}) e^{(- 5 + 15) t} + \frac{e ^{15 - 5}}{- e ^{- 5 - 15} + e ^{15 - 5}} e^{(- 5 - 15) t}

y = (1 - \frac{e ^{15 - 5}}{- e ^{- 5 - 15} + e ^{15 - 5}}) e^{(- 5 + 15) t} + \frac{e ^{15 - 5}}{- e ^{- 5 - 15} + e ^{15 - 5}} e^{(- 5 - 15) t}

y^{^{''}} + 0.2 y^{^{'}} + 0.01 y = 0

y^{^{''}} + 9 y^{^{'}} - 20 y = 0, y (0) = 1, y^{^{'}} (0) = 2

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

4 y^{^{''}} - 68 y^{^{'}} + 289 y = 0

y^{^{''}} + 9 y + y = 0, y (0) = 0.16, y^{^{'}} (0) = 0

What is the solution for 0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0 ?
The solution for 0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0 is