Suppose x = e^{2t} .

- Find the value of the expression
x''' - 6 x'' + 12 x' - 8 x in terms of the variablet . (Enter the terms in the order given.)

+ + + help (formulas)

- Simplify your answer to the previous
part to obtain a differential equation in terms
of the dependent variable
x satisfied byx = e^{2t} .

x''' - 6 x'' + 12 x' - 8 x = help (formulas)

- Is
x = e^t a solution to your differential equation in the previous part?Choose Yes No

You can earn partial credit on this problem.