What is the solution for y^{''}+14y^'=0,y(0)=-2,y^'(0)=14 ?

The solution for y^{''}+14y^'=0,y(0)=-2,y^'(0)=14 is y=-e^{-14t}-1

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y^{''}+14y^'=0,y(0)=-2,y^'(0)=14

y^{^{''}} + 14 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = 14

y = - e^{- 14 t} - 1

Solution steps

y^{''} (t) + 14 y^{'} (t) = 0

Solve linear ODE:

y = - e^{- 14 t} - 1

y = - e^{- 14 t} - 1

y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = 4, y^{^{'}} (0) = 5

y^{^{''}} + 3 y^{^{'}} + 12 y = 0

\frac{4}{9} y^{^{''}} + 36 y = 0

2 y^{^{''}} + 5 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = - 1.5

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

What is the solution for y^{''}+14y^'=0,y(0)=-2,y^'(0)=14 ?
The solution for y^{''}+14y^'=0,y(0)=-2,y^'(0)=14 is y=-e^{-14t}-1