What is the solution for 6(d^2y)/(dx^2)+4(dy)/(dx)-2y=3x-2 ?

The solution for 6(d^2y)/(dx^2)+4(dy)/(dx)-2y=3x-2 is y=c_{1}e^{x/3}+c_{2}e^{-x}-(3x)/2-2

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6(d^2y)/(dx^2)+4(dy)/(dx)-2y=3x-2

6 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 2 y = 3 x - 2

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

Solution steps

6 \frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 2 y = 3 x - 2

Solve linear ODE:

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

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

What is the solution for 6(d^2y)/(dx^2)+4(dy)/(dx)-2y=3x-2 ?
The solution for 6(d^2y)/(dx^2)+4(dy)/(dx)-2y=3x-2 is y=c_{1}e^{x/3}+c_{2}e^{-x}-(3x)/2-2