Introduction-Basic Concepts: Problem 2

(1 point)

Suppose x =

e²t

a. Find the value of the expression "" 6x" + 12x'- 8x in terms of the variable t. (Enter the terms in the order given.)

0+0+C

+ +help (formulas)

b. Simplify your answer to the previous part to obtain a differential equation in terms of the dependent variable x satisfied by x = e²t.

x"" − 6x" + 12x′ − 8x = help (formulas)

c. Is x = et a solution to your differential equation in the previous part? No

Be sure you can justify your answer.