The ODE has characteristic equation

with roots
, and hence the characteristic solution

For the particular solution, assume an ansatz of
, with derivatives


Substituting these into the ODE gives

so that the particular solution is

Answer:
1/4
Step-by-step explanation:
the numerator is 12 because there are 12 possible outcomes. The numerator is 3 because there are 3 numbers in this set that are greater than 9. You get 3/12 which then simplifies to 1/4
First, multiply the top layer. 9 times 8 is 72.
now multiply the next layer. its not 15 times 20. its 7 times 20. remember the 9 times 8? well the 8 is a part of the 15. 15-8 is 7. 7 times 20 is 140. now add 140 and the 72 from the beginning. 140+72 is = to 212. please give me THE BRAINLIEST ANSWER.
Standard form would be
.407600105028
Hope this helps
Answer:
(x - 9)(x - 9)
Step-by-step explanation:
<em>Hey there!</em>
Well to factor,
x^2-18x+81
we need to figure out what times what equal 81 and adds together to get -18.
-9*-9 = 81
-9 + -9 = -18
x*x = x^2
Factored - (x - 9)(x - 9)
<em>Hope this helps :)</em>