What is the solution for (d^2y)/(dx^2)+4(dy)/(dx)-12y=24 ?

The solution for (d^2y)/(dx^2)+4(dy)/(dx)-12y=24 is y=c_{1}e^{2x}+c_{2}e^{-6x}-2

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(d^2y)/(dx^2)+4(dy)/(dx)-12y=24

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 12 y = 24

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 12 y = 24

Solve linear ODE:

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

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

What is the solution for (d^2y)/(dx^2)+4(dy)/(dx)-12y=24 ?
The solution for (d^2y)/(dx^2)+4(dy)/(dx)-12y=24 is y=c_{1}e^{2x}+c_{2}e^{-6x}-2