What is the solution for 1600y^{''}-9y=0,y(0)=7,y^'(0)=6 ?

The solution for 1600y^{''}-9y=0,y(0)=7,y^'(0)=6 is y=(7+73/2)e^{(3t)/(40)}-73/2 e^{-(3t)/(40)}

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1600y^{''}-9y=0,y(0)=7,y^'(0)=6

1600 y^{^{''}} - 9 y = 0, y (0) = 7, y^{^{'}} (0) = 6

y = (7 + \frac{73}{2}) e^{\frac{3 t}{40}} - \frac{73}{2} e^{- \frac{3 t}{40}}

Solution steps

1600 y^{''} (t) - 9 y = 0

Solve linear ODE:

y = (7 + \frac{73}{2}) e^{\frac{3 t}{40}} - \frac{73}{2} e^{- \frac{3 t}{40}}

y = (7 + \frac{73}{2}) e^{\frac{3 t}{40}} - \frac{73}{2} e^{- \frac{3 t}{40}}

x \to - 1 lim (x^{2} + 4 x)

\frac{d y}{d t} = 4 y + y^{4}

f (x) = - \frac{4 x}{x ^{2} + 1}, at x = 0

\int r^{2} (\frac{r ^{3}}{15} - 8)^{4} d r

\frac{\partial}{\partial x} (\frac{s ^{2} + 4}{t - 3})

What is the solution for 1600y^{''}-9y=0,y(0)=7,y^'(0)=6 ?
The solution for 1600y^{''}-9y=0,y(0)=7,y^'(0)=6 is y=(7+73/2)e^{(3t)/(40)}-73/2 e^{-(3t)/(40)}