What is the solution for 10000y^{''}-729y=0,y(0)=9 ?

The solution for 10000y^{''}-729y=0,y(0)=9 is y=(9-c_{2})e^{(27t)/(100)}+c_{2}e^{-(27t)/(100)}

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10000y^{''}-729y=0,y(0)=9

10000 y^{^{''}} - 729 y = 0, y (0) = 9

y = (9 - c_{2}) e^{\frac{27 t}{100}} + c_{2} e^{- \frac{27 t}{100}}

Solution steps

10000 y^{''} (t) - 729 y = 0

Solve linear ODE:

y = (9 - c_{2}) e^{\frac{27 t}{100}} + c_{2} e^{- \frac{27 t}{100}}

y = (9 - c_{2}) e^{\frac{27 t}{100}} + c_{2} e^{- \frac{27 t}{100}}

What is the solution for 10000y^{''}-729y=0,y(0)=9 ?
The solution for 10000y^{''}-729y=0,y(0)=9 is y=(9-c_{2})e^{(27t)/(100)}+c_{2}e^{-(27t)/(100)}