Answer:
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
Step-by-step explanation:
Given equation is
This Euler Cauchy type differential equation.
So, we can let
Differentiate with respect to x
Again differentiate with respect to x
Putting the value of y, y' and y'' in the differential equation
⇒m²-10m +24=0
⇒m²-6m -4m+24=0
⇒m(m-6)-4(m-6)=0
⇒(m-6)(m-4)=0
⇒m = 6,4
Therefore the auxiliary equation has two distinct and unequal root.
The general solution of this equation is
and
First we compute the Wronskian
=x⁴×6x⁵- x⁶×4x³
=6x⁹-4x⁹
=2x⁹
≠0
The functions satisfy the differential equation and linearly independent since W(x)≠0
Therefore the general solution is
Answer:
not number 5 is is biased.
Number 6 is not biased.
Number 7 is not biased.
Step-by-step explanation:
Biased means of an estimator is the difference between this estimator's expected value and the true value of the parameter being estimated.
You need to add 38 and 14 together to get answer of 52 years old.
We conclude that he drove 176 miles on the highway
<h3>how many highway miles did he drive?</h3>
Here we have the equation:
A = (1/18)*c + (1/32)*h
Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.
Here we know that:
A = 8 gallons of gas.
c = 45 miles
Replacing that in the above equation, we can find the value of h.
8 = (1/18)*45 + (1/32)*h
8 - (1/18)*45 = (1/32)*h
32*(8 - (1/18)*45) = h = 176
We conclude that he drove 176 miles on the highway
if you want to learn more about linear equations:
brainly.com/question/1884491
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