What is the solution for y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=-5 ?

The solution for y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=-5 is y=e^{-4t}(cos(t)-sin(t))

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y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=-5

y^{^{''}} + 8 y^{^{'}} + 17 y = 0, y (0) = 1, y^{^{'}} (0) = - 5

y = e^{- 4 t} (cos (t) - sin (t))

Solution steps

y^{''} (t) + 8 y^{'} (t) + 17 y = 0

Solve linear ODE:

y = e^{- 4 t} (cos (t) - sin (t))

y = e^{- 4 t} (cos (t) - sin (t))

What is the solution for y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=-5 ?
The solution for y^{''}+8y^'+17y=0,y(0)=1,y^'(0)=-5 is y=e^{-4t}(cos(t)-sin(t))