What is the solution for (d^2y)/(dx^2)-9y=54 ?

The solution for (d^2y)/(dx^2)-9y=54 is y=c_{1}e^{3x}+c_{2}e^{-3x}-6

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(d^2y)/(dx^2)-9y=54

\frac{d ^{2} y}{d x ^{2}} - 9 y = 54

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - 6

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 9 y = 54

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - 6

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - 6

What is the solution for (d^2y)/(dx^2)-9y=54 ?
The solution for (d^2y)/(dx^2)-9y=54 is y=c_{1}e^{3x}+c_{2}e^{-3x}-6