What is the solution for y^{'''}-6y^{''}=0 ?

The solution for y^{'''}-6y^{''}=0 is y=c_{1}e^{6t}+c_{2}+c_{3}t

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y^{'''}-6y^{''}=0

y^{^{'''}} - 6 y^{^{''}} = 0

y = c_{1} e^{6 t} + c_{2} + c_{3} t

Solution steps

y^{'''} (t) - 6 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} + c_{3} t

y = c_{1} e^{6 t} + c_{2} + c_{3} t

\frac{\partial}{\partial y} (x^{3} e^{x y})

x \to 0 lim (3 x^{2} - 5)

\frac{d}{d x} (\frac{2}{e ^{x}})

\frac{d y}{d t} = sin (t) - y

\int \frac{- 1}{1 + e ^{x}} d x

What is the solution for y^{'''}-6y^{''}=0 ?
The solution for y^{'''}-6y^{''}=0 is y=c_{1}e^{6t}+c_{2}+c_{3}t