Suppose
is a solution to the ODE. Then
and
, and substituting these into the ODE gives

Then the particular solution to the ODE is

Answer:
x = 0
Step-by-step explanation:
→ Expand out the brackets
6 - 18x + 4x - 6 = 0
→ Collect all the like terms
-12x = 0
→ Now solve
x = 0
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A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,

Thus, the horizontal asymptote of f(x) is y = –2.