What is the solution for (d^2y)/(dx^2)+(dy)/(dx)-6y=6 ?

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

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(d^2y)/(dx^2)+(dy)/(dx)-6y=6

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 6

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 6

Solve linear ODE:

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

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

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