What is the solution for 9y^{''}-9y^'-4y=0 ?

The solution for 9y^{''}-9y^'-4y=0 is y=c_{1}e^{(4t)/3}+c_{2}e^{-t/3}

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9y^{''}-9y^'-4y=0

9 y^{^{''}} - 9 y^{^{'}} - 4 y = 0

y = c_{1} e^{\frac{4 t}{3}} + c_{2} e^{- \frac{t}{3}}

Solution steps

9 y^{''} (t) - 9 y^{'} (t) - 4 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{4 t}{3}} + c_{2} e^{- \frac{t}{3}}

y = c_{1} e^{\frac{4 t}{3}} + c_{2} e^{- \frac{t}{3}}

What is the solution for 9y^{''}-9y^'-4y=0 ?
The solution for 9y^{''}-9y^'-4y=0 is y=c_{1}e^{(4t)/3}+c_{2}e^{-t/3}