What is the solution for y^{''}-9y=0,y(0)=6 ?

The solution for y^{''}-9y=0,y(0)=6 is y=(6-c_{2})e^{3t}+c_{2}e^{-3t}

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y^{''}-9y=0,y(0)=6

y^{^{''}} - 9 y = 0, y (0) = 6

y = (6 - c_{2}) e^{3 t} + c_{2} e^{- 3 t}

Solution steps

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

Solve linear ODE:

y = (6 - c_{2}) e^{3 t} + c_{2} e^{- 3 t}

y = (6 - c_{2}) e^{3 t} + c_{2} e^{- 3 t}

x \to 54 lim (\frac{x ^{2}}{6} - \frac{9}{x})

x \to 2 lim (5 x^{2} - 2 x + 3)

\int \frac{1}{49 - x ^{2}} d x

\frac{\partial}{\partial x} ((x^{2} + y) e^{3 x + 4 y})

What is the solution for y^{''}-9y=0,y(0)=6 ?
The solution for y^{''}-9y=0,y(0)=6 is y=(6-c_{2})e^{3t}+c_{2}e^{-3t}