What is the solution for 9y^{''}+60y^'+100y=0 ?

The solution for 9y^{''}+60y^'+100y=0 is y=c_{1}e^{-(10t)/3}+c_{2}e^{-(10t)/3}t

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9y^{''}+60y^'+100y=0

9 y^{^{''}} + 60 y^{^{'}} + 100 y = 0

y = c_{1} e^{- \frac{10 t}{3}} + c_{2} e^{- \frac{10 t}{3}} t

Solution steps

9 y^{''} (t) + 60 y^{'} (t) + 100 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{10 t}{3}} + c_{2} e^{- \frac{10 t}{3}} t

y = c_{1} e^{- \frac{10 t}{3}} + c_{2} e^{- \frac{10 t}{3}} t

8 (x + 2)^{\frac{3}{2}}

x^{3} e^{x} - 3 x^{2} e^{x} + 6 x e^{x} - 6 e^{x}

2 ln (+ ln (x))

\frac{\partial}{\partial x} (9 - 2 x + 4 y - x^{2} - 4 y^{2})

f (x) = \frac{3}{x} + x, 5, 15

What is the solution for 9y^{''}+60y^'+100y=0 ?
The solution for 9y^{''}+60y^'+100y=0 is y=c_{1}e^{-(10t)/3}+c_{2}e^{-(10t)/3}t