What is the solution for (D^3-2D^2-5D+6)y=0 ?

The solution for (D^3-2D^2-5D+6)y=0 is y=c_{1}e^x+c_{2}e^{-2x}+c_{3}e^{3x}

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(D^3-2D^2-5D+6)y=0

(D^{3} - 2 D^{2} - 5 D + 6) y = 0

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

Solution steps

(D^{3} - 2 D^{2} - 5 D + 6) y = 0

Solve linear ODE:

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

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

What is the solution for (D^3-2D^2-5D+6)y=0 ?
The solution for (D^3-2D^2-5D+6)y=0 is y=c_{1}e^x+c_{2}e^{-2x}+c_{3}e^{3x}