What is the solution for (d^2y)/(dx^2)-(dy)/(dx)-2y=8 ?

The solution for (d^2y)/(dx^2)-(dy)/(dx)-2y=8 is y=c_{1}e^{2x}+c_{2}e^{-x}-4

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(d^2y)/(dx^2)-(dy)/(dx)-2y=8

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = 8

y = c_{1} e^{2 x} + c_{2} e^{- x} - 4

Solution steps

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = 8

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - 4

y = c_{1} e^{2 x} + c_{2} e^{- x} - 4

What is the solution for (d^2y)/(dx^2)-(dy)/(dx)-2y=8 ?
The solution for (d^2y)/(dx^2)-(dy)/(dx)-2y=8 is y=c_{1}e^{2x}+c_{2}e^{-x}-4