What is the solution for y^{''}+12y^'+35y=0,y(0)=1,y^'(0)=-1 ?

The solution for y^{''}+12y^'+35y=0,y(0)=1,y^'(0)=-1 is y=3e^{-5t}-2e^{-7t}

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y^{''}+12y^'+35y=0,y(0)=1,y^'(0)=-1

y^{^{''}} + 12 y^{^{'}} + 35 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

y = 3 e^{- 5 t} - 2 e^{- 7 t}

Solution steps

y^{''} (t) + 12 y^{'} (t) + 35 y = 0

Solve linear ODE:

y = 3 e^{- 5 t} - 2 e^{- 7 t}

y = 3 e^{- 5 t} - 2 e^{- 7 t}

What is the solution for y^{''}+12y^'+35y=0,y(0)=1,y^'(0)=-1 ?
The solution for y^{''}+12y^'+35y=0,y(0)=1,y^'(0)=-1 is y=3e^{-5t}-2e^{-7t}