Answer:
your answer would actually be B
Step-by-step explanation:
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
Answer:
(C) Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner?
Step-by-step explanation:
One clue is "of" in the story and which matches "times" in the equation sentence. The question is is about multiplication.
Words such as "more" "and" & "total" are usually clues that the question is about addition. "Give" "take" "difference" & "have/are left" are clues that there is subtraction in the process. (Please give brainliest!!)
Answer: He added 4 to a negative 42 and said it was 46 but its supposed to simplify to -38. X=3/5
Answer:
It should be A
Step-by-step explanation:
Because there are 4 sides and if you multiply 16x4 that will give you 64
it simple good luck :)
