The green's function for solving the initial value problem isG(x,t) = x(x+t)/t. The correct answer is a
To determine the Green's function for the given initial value problem, we need to find a function G(x, t) that satisfies the following properties:
G(x, t) is a solution of the homogeneous differential equation: x^2y'' - 2xy' + 2y = 0.
G(x, t) satisfies the boundary conditions: y(1) = 1 and y'(1) = 0.
G(x, t) satisfies the inhomogeneous term: x ln(x).
Among the given options, the correct Green's function for this initial value problem is (A) G(x, t) = x(x + t)/t.
To verify this, we can substitute G(x, t) into the differential equation and the boundary conditions:
Substituting G(x, t) = x(x + t)/t into the differential equation:
x^2(G''(x, t)) - 2x(G'(x, t)) + 2G(x, t) = x ln(x)
Simplifying the equation will show that it satisfies the differential equation.
Substituting G(x, t) = x(x + t)/t into the boundary conditions:
G(1, t) = 1, G'(1, t) = 0
Evaluating G(1, t) and G'(1, t) will satisfy the given boundary conditions.
Therefore, the correct answer is (A) G(x, t) = x(x + t)/t.
To learn more about differential equation from the given link
brainly.com/question/28099315
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At her restaurant, Yolanda opened 34 cans of tomato sauce. She needs to use 4 cans of sauce for one pan of lasagna. How many pans of lasagna could Yolanda make if she uses all of the cans? Write the answer as a mixed number.
Step-by-step explanation:
so divide 34 and 4 you will get 17 / 2 so to make it into a mixed number divide it by 8 and it will 16 so 1 will be remaining so it will be 8 1/2 hope it helps :D
I NEED MORE HELP PLSSS
True or False:
The relation shown is a function.
20 POINTS!!
Answer:
True
Step-by-step explanation:
For a relation to be a function each value of x must pair up with one and only one value of
The relation shown is a function.
Does 18x-(9x+2)=4x have a solution?
Answer:
Yes
Step-by-step explanation:
9x - 4x = 2
5x = 2
x = 2/5
x = 0.4
I’m having a bit of trouble could someone please help me??
Answer:
1.Conduction
2.the second one
sorry if these are wrong
Step-by-step explanation:
Answer:
#1 Convection
#2 From the hot to the mug
Four square tiles, each of side 12 cm are used to make a bigger tile. Find the perimeter of the larger tile.
Answer:
192 cm
Step-by-step explanation:
Given that:
Side length of small tiles = 12cm
Number of small tilea used to make a bigger tile = 4
The perimeter of larger tile:
Perimeter of a square = 4s
Where, s = side length
Side length of larger tile :
4 * side length of smaller tile
4 * 12
= 48 cm
Hence,
Perimeter of a larger square tile = 4s
4 * 48cm
= 192 cm
What is the value of X
Answer:
The Value of X in 2nd one can be 14√3.
The Value of X in 1st one can be 6√3.
Step-by-step explanation:
2.)here we used tan 60° formula with P/B as x/14 respectively.
as the value of tan 60° is √3, we got,
√3= x/14
x= 14√3.
1.) Here we used sin 30° formula with 1/√2 as P/H
so we got,
6/x= 1/√2
hence the answer comes:-
x= 6√2..
Hope so it helped you........
Something and 14√3.
Steps
The person above me has calculated something.
The way to get 14√3 can be seen in the image above.
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Step-by-step explanation:
A stone falls from a train trestle. The stone's height in meters above the ground is modeled by the function h(t)=−4.9t2+155 where t is time in seconds. To the nearest tenth of a second, how long does it take the stone to hit the ground? State what strategy you will use to answer the question, and then find the answer.
Answer:
5.6s
Step-by-step explanation:
Given the height reached by the stone modeled by the equation
h(t)=−4.9t2+155 where t is time in seconds.
The stone hits the ground at h(t) = 0
Substitute
0 = -4.9t²+155
4.9t² = 155
t² = 155/4.9
t² = 31.63
t = ±√31.63
t = 5.62seconds
Hence it will take 5.6s to reach the ground(to the nearest tenth)
The picture above tap and tell me yes or no in order thank you :)
Step-by-step explanation:
no,yes,no, d is probably yes I guess
Answer:
a. yes
b. no
c. yes
d. yes
have a nice day;)
Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?
c=-6
c=-1
c=5
c=7
Given:
A quadratic equation is
[tex]-6=x^2+4x-1[/tex]
To find:
The standard form of the given equation and find the value of c.
Solution:
The standard form of a quadratic equation is
[tex]ax^2+bx+c=0[/tex] ...(i)
We have,
[tex]-6=x^2+4x-1[/tex]
It can be rewritten as
[tex]0=x^2+4x-1+6[/tex]
[tex]0=x^2+4x+5[/tex]
[tex]x^2+4x+5=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]c=5[/tex]
Therefore, the value of c is equal to 5 and the correct option is C.
Answer:
the answer is c
Step-by-step explanation:
Name all the quadrilaterals that have the given property.
two pairs of parallel sides and all angles congruent
a
rectangle, square
b
trapezoid
c
rhombus, square
d
rhombus
Answer:
A) rectangle and square
Step-by-step explanation:
Answer:
A) rectangle and square
Step-by-step explanation:
Hope it work
Brainliest plz
There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?
Jaden is building a fence around his yard. He wants to know how much fencing he needs. His yard is shaped like a rectangle that is 96 feet long and
33 feet wide.
How many feet of fencing does Jaden need to buy? Enter the answer in the box.
feet
Answer:
258 ft
Step-by-step explanation:
area of the rectangle =96+33×2=258 ft
hope it helps you to
please mark me as brainlist
Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
O y=x-2
y = x + 2
O y = x + 3
O y=x-5
Save and Exit
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-3=1(x-5)
y-3=x-5
y=x-5+3
y=x-2
2.8 -3x =12.1 −6x what's x
46 e 64 sao cemtena e unidade
Answer:
nn
Step-by-step explanation:
pq centena são de 100 dezena são de 10
Ex: 46 (dezena e unidade)
146 (centena, dezena e unidade)
last trigonometry question plz help me for 30 points
Answer:
46
Step-by-step explanation:
Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.
Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg
4(x + 3) = 3(3x - 1)
Answer:
Either 4x+12 ≠ 9x-3 OR x = 3
Hope this helps!! (Please mark Brainliest if possible!!)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]4(x+3)=3(3x-1)[/tex]
Distribute 4 and 3 into the parentheses
[tex]4x+12=9x-3[/tex]
Combine like terms; subtract both sides by 12
[tex]4x+12-12=9x-3-12\\4x=9x-15[/tex]
Combine like terms; subtract both sides by 9x
[tex]4x-9x=9x-15-9x\\-5x=-15[/tex]
Divide both sides by -5 to isolate x
[tex]\frac{-5x}{-5} =\frac{-15}{-5} \\x=3[/tex]
I hope this helps!
Jill brought 2 1/3 boxes of carrot muffins for a bake sale. Mike brought 5 3/4. boxes of apple muffins. What is the total number of boxes of muffins Jill and Mike brought to the bake sale? Enter your answer as a fraction in simplest form.
Answer:
8 1/6
Step-by-step explanation:
2 1/3= 2 4/12
5 3/4= 5 9/12
add those, and you get 8 2/12, or 8 1/6
Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week
Answer:
288
Step-by-step explanation:
it's pretty simple, if u do 96 * 3, it will be that. yw :)
Answer:
He made $324.
Step-by-step explanation:
96 x 3 = 288
204 x 3 = 612
So, then 612-288 = 324
Hope this helped!
Solve - x/6 less than or equal to 3
Answer: x is greater than or equal to 18
Step-by-step explanation:
Answer:
x ≤ - 2
Step-by-step explanation:
- x/6 ≤ 3
- x/2 ≤ 1
- x ≤ 2
x ≤ - 2
Please help I really need it
Answer:
X = -2, Y = 13
X = 0, Y = 9
X = 2, Y = 5
X = 4, Y = 1
Step-by-step explanation:
Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:
y = -2(-4) + 9
Simplify it:
y = 8 + 9
y = 17
Repeat this process with the rest of the X values to get your Y values.
Unrestrained growth of cells in a petri dish can be extremely rapid, with a single cell growing into a number of cells, N, given by the formula, N(t) = 8t, after t hours.
Enter the formula for the number of cells in the petri dish when a culture is started with 30 isolated cells.
The new formula is N(t) = .
How many cells do you expect after 3 hours?
You should expect ___
cells.
Answer:
New Formula is [tex] N(t) = 30t [/tex]
You should expect 90 cells
Step-by-step explanation:
✔️The new formula that would represent the number of cells when 30 isolated cells are used to start a culture would be:
[tex] N(t) = 30t [/tex]
✔️Number of cells, N(t), to expect after 3 hours, t:
Substitute t = 3 into [tex] N(t) = 30t [/tex]
Thus:
[tex] N(30) = 30*3 [/tex]
[tex] N(30) = 90 [/tex]
You should expect 90 cells
Mike bought shares in a new corporation that manufacturers cell phone
cases. He bought the stock years ago for $5,100. He recently sold the
stock for $6,100. What was Mike's profit (capital gain) on his stock?
Answer:
1000
Step-by-step explanation:
6100-5100=1000 which is the profit
She needs altogether 2 2/4. that is 2 wholes and 2/4 fraction. if we consider using 1/4 cup, 1 whole is made of four quarter cups. Therefore 2 wholes require eight quarter cups. Then theres a remaining fraction of 2/4 which is equivalent to two quarter cups. 1/4 + 1/4 = 2/4. Therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe. 10 of 1/4 cups are needed is this right? Yes or no
Answer:
Yes
Step-by-step explanation:
According to the analysis;
There are four 1/4 cups in one whole
There are eight 1/4 cups in two wholes
Then the fraction 2/4 = 1/4 + 1/4 Hence there are two 1/4 cups in 2/4.
Altogether we have the fraction 2 2/4 as 8 + 2 = 10 measures of 1/4 cups
To confirm, 10 * 1/4 = 2 2/4
Therefore, the analysis is correct.
Sami has 12 Balloons . 2/3 of them are Green and the rest is Red balloons. What's is the ratio of Green to Red balloons
helppp!
(7&8)Question 7 (1 point)
Susie has a bag of marbles of equal size in a bag. There are 8 blue marbles, 2 yellow marbles, and 5 red marbles. If she closes her eyes and
pulls out a marble at random, what is the probability the marble will be blue?
The probability Susie will pull a blue marble is
__%
Blank 1:
How can you use equations to solve real-world problems? PLZ
Answer:
you can use equations to find out how much tip you should give
4x - 2y = 24
y=-3x - 2
someone help me?
Step-by-step explanation:
I've used substitution method over here and got the value of X and Y