Answer:
1/2
Step-by-step explanation:
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
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Answer:
A: They are independent because P(X). P(Y) = PIX and Y).
Step-by-step explanation:
A) Two events X and Y are said to be independent if the probability of X occurring does not affect the probability of Y occurring or the probability of Y occurring does not affect the probability of X occurring. An example of independent events is the rolling of a die and flipping of a coin because the probability of getting a face in the die does not influence the probability of getting a head or tail in the coin. The probability of both events occurring is given as:
P(X and Y) = P(X).P(Y)
Answer:
Step-by-step explanation:
Ratio is an expression that shows the relationship between two items in terms of quantity. It shows how much of one item can be found in another.
Simon used 3 pears and 9 apples to make a fruit salad.
This is expressed in terms of quantity.
The ratio of the number of pears which simon used to the number of apples which simon used will be
Number of pears which simon used ÷ the number of apples which simon used.
The ratio is 3/9.
Simplifying further to its lowest term,
It becomes 1/3
This is done by dividing the numerator and denominator by 3
This is must be 3.7 you have to share and, to share you supposed to divided together
