What is the solution for y^{''}-4y+3y=0,y(0)=-1,y^'(0)=-5 ?

The solution for y^{''}-4y+3y=0,y(0)=-1,y^'(0)=-5 is y=-3e^t+2e^{-t}

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y^{''}-4y+3y=0,y(0)=-1,y^'(0)=-5

y^{^{''}} - 4 y + 3 y = 0, y (0) = - 1, y^{^{'}} (0) = - 5

y = - 3 e^{t} + 2 e^{- t}

Solution steps

y^{''} (t) - 4 y + 3 y = 0

Solve linear ODE:

y = - 3 e^{t} + 2 e^{- t}

y = - 3 e^{t} + 2 e^{- t}

What is the solution for y^{''}-4y+3y=0,y(0)=-1,y^'(0)=-5 ?
The solution for y^{''}-4y+3y=0,y(0)=-1,y^'(0)=-5 is y=-3e^t+2e^{-t}