What is the solution for y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21 ?

The solution for y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21 is y=e^{6t}-3e^{-5t}

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y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21

y^{^{''}} - y^{^{'}} - 30 y = 0, y (0) = - 2, y^{^{'}} (0) = 21

y = e^{6 t} - 3 e^{- 5 t}

Solution steps

y^{''} (t) - y^{'} (t) - 30 y = 0

Solve linear ODE:

y = e^{6 t} - 3 e^{- 5 t}

y = e^{6 t} - 3 e^{- 5 t}

What is the solution for y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21 ?
The solution for y^{''}-y^'-30y=0,y(0)=-2,y^'(0)=21 is y=e^{6t}-3e^{-5t}