What is the solution for y^{''}-y^'-72y=0 ?

The solution for y^{''}-y^'-72y=0 is y=c_{1}e^{9t}+c_{2}e^{-8t}

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y^{''}-y^'-72y=0

y^{^{''}} - y^{^{'}} - 72 y = 0

y = c_{1} e^{9 t} + c_{2} e^{- 8 t}

Solution steps

y^{''} (t) - y^{'} (t) - 72 y = 0

Solve linear ODE:

y = c_{1} e^{9 t} + c_{2} e^{- 8 t}

y = c_{1} e^{9 t} + c_{2} e^{- 8 t}

\frac{d}{d x} (c e^{3 x})

\int (x + 8) d x

\int x ln (2 x) d x

(\frac{2}{s} - \frac{1}{s ^{3}})^{2}

y = x + 3, y = \frac{( x + 3 )}{2}

What is the solution for y^{''}-y^'-72y=0 ?
The solution for y^{''}-y^'-72y=0 is y=c_{1}e^{9t}+c_{2}e^{-8t}