What is the solution for y^{''}-6y=6 ?

The solution for y^{''}-6y=6 is y=c_{1}e^{sqrt(6)t}+c_{2}e^{-sqrt(6)t}-1

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y^{''}-6y=6

y^{^{''}} - 6 y = 6

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

Solution steps

y^{''} (t) - 6 y = 6

Solve linear ODE:

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

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

y^{^{''}} - 2 y^{^{'}} + 17 y = e x cos (4 x)

y^{^{''}} + 2 y^{^{'}} + y = 4 e^{x} + 4 e^{- x}

y^{^{''}} - 8 y^{^{'}} + 20 y = 10 x e^{x}

7 y^{^{''}} + 7 y^{^{'}} + 2 y = 16 + 9 x + x^{2}

y^{^{''}} + y = - 8 x cos^{2} (x)

What is the solution for y^{''}-6y=6 ?
The solution for y^{''}-6y=6 is y=c_{1}e^{sqrt(6)t}+c_{2}e^{-sqrt(6)t}-1