What is the solution for y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=30 ?

The solution for y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=30 is y=5e^{2t}-4e^{-5t}

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y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=30

y^{^{''}} + 3 y^{^{'}} - 10 y = 0, y (0) = 1, y^{^{'}} (0) = 30

y = 5 e^{2 t} - 4 e^{- 5 t}

Solution steps

y^{''} (t) + 3 y^{'} (t) - 10 y = 0

Solve linear ODE:

y = 5 e^{2 t} - 4 e^{- 5 t}

y = 5 e^{2 t} - 4 e^{- 5 t}

What is the solution for y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=30 ?
The solution for y^{''}+3y^'-10y=0,y(0)=1,y^'(0)=30 is y=5e^{2t}-4e^{-5t}