What is the solution for y^{''}+5y^'=0,y(0)=-11,y^'(0)=35 ?

The solution for y^{''}+5y^'=0,y(0)=-11,y^'(0)=35 is y=-7e^{-5t}-4

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y^{''}+5y^'=0,y(0)=-11,y^'(0)=35

y^{^{''}} + 5 y^{^{'}} = 0, y (0) = - 11, y^{^{'}} (0) = 35

y = - 7 e^{- 5 t} - 4

Solution steps

y^{''} (t) + 5 y^{'} (t) = 0

Solve linear ODE:

y = - 7 e^{- 5 t} - 4

y = - 7 e^{- 5 t} - 4

12 y^{^{''}} - 11 y^{^{'}} + 2 y = 0, y (0) = 7, y^{^{'}} (0) = - 3

y^{^{''''}} - 4 y^{^{'''}} + 9 y^{^{''}} - 36 y^{^{'}} = 0

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

4 y^{^{''}} - y = 0, y (- 9) = 1, y^{^{'}} (- 9) = - 1

\frac{1}{16} y^{^{''}} + y^{^{'}} + 2 y = 0

What is the solution for y^{''}+5y^'=0,y(0)=-11,y^'(0)=35 ?
The solution for y^{''}+5y^'=0,y(0)=-11,y^'(0)=35 is y=-7e^{-5t}-4