For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.
Given solution to t²y'' - 4ty' + 6y = 0 is
y₁(t) = t²
Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,
y₂ = vt²
y₂' = 2vt + t²v'
y₂'' = 2v + 2tv' + 2tv' + t²v''
y₂'' = 2v + 4tv' + t²v''
Substituting this
t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0
t⁴v'' = 0
v'' = 0
v' = c, c is a constant
v = ct
Therefore, y₂(t) = ct×t²
y₂ (t) = ct³
Therefore general solution will be y(t) = c₁t² + c₂t³
To know more on second order differential equation
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PLEASE PLEASE HELP IVE BEEN STUCK ON THIS FOR TOO LONG
Answer:
10
Step-by-step explanation:
Use the distributive property to factor the expression below.
544 y - 12 x 7
Find the opposite of the opposite of each integer.
5. -4
7. 8
6. -15
8. -7
Answer:
5: 4
7: -8
6: 15
8: 7
I hope this helps you <3
Step-by-step explanation:
Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.
Answer:
Im not sure
Step-by-step explanation:
GOOD LOOK ON YOUR TEST HE DISCONN-ECTED
3. Label all the following values: You may label the graph or write the approximate values. A. Median = 7 B. Lower quartile (Q1) C. Upper quartile (Q3) D. Minimum E. Maximum
Answer:
is this a equation for HW for is this random?
Step-by-step explanation:
1/2 x 1 3/5 to the simplest form
Answer:
4/5
Step-by-step explanation:
Convert 1 3/5 into improper fraction
1 3/5 -> 8/5
1/2x8/5= 8/10
8/10= 4/5
Observa los puntajes de las respuestas de una evaluación que tuvo de 100 preguntas. Si Alfredo contestó correctamente 57 preguntas, 16 incorrectas y el resto las dejó en blanco, ¿qué puntuación obtuvo en la evaluación?
La pregunta está incompleta:
Observa los puntajes de las respuestas de una evaluación que tuvo de 100 preguntas. Si Alfredo contestó correctamente 57 preguntas, 16 incorrectas y el resto las dejó en blanco, ¿qué puntuación obtuvo en la evaluación?
Puntos por respuesta:
Correctas: 4
En blanco: -1
Incorrectas: -3
Answer:
Alfredo obtuvo una puntuación de 153.
Step-by-step explanation:
De acuerdo a la información proporcionada, conoces el número de preguntas en la evaluación y el número de preguntas que Alfredo contestó de forma correcta e incorrecta y tienes que restar estas del total de preguntas para encontrar el número de preguntas que dejó en blanco:
100-57-16=27
Ahora, debes multiplicar el número de respuestas correctas, incorrectas y en blanco por su respectivo puntaje:
Correctas: 57*4=228
En blanco: 27*(-1)=-27
Incorrectas: 16*(-3)=-48
Finalmente, debes sumar los resultados obtenidos por cada tipo de respuesta:
228+(-27)+(-48)= 228-27-48=153
De acuerdo a esto, la respuesta es que Alfredo obtuvo una puntuación de 153.
PLEASE HELP MEEE!!!!!
10 seconds : 1 minute as a fraction in simplest form
Answer:
1/6
Step-by-step explanation:
60 seconds is one minute, so 10 seconds is one-sixth of a minute.
Answer:
Was there supposed to be an attachment?
Step-by-step explanation:
I think there was supposed to be an object but um, i will try my best with the info there is.
10 seconds in a fraction of a whole minute is 1/6. (10/60 = 1/6)
1 minute as a fraction is just (60/60 or 1)
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Answer:
B
Step-by-step explanation:
Answer:
Thats a tuff 1 A estimate of B
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIST AND GIVE EXTRA 5 POINTS
Answer:
Danny does
Step-by-step explanation:
Compare the fraction of seconds, find their common denominator, then compare the nominators.
3/12, 4/12
Danny's fraction has the least nonimanator so Danny ate the fastest.
PLZ HELP ASAP WILL GIVE BRAINLIEST IF CORRECT The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Which of the four images was formed by a reflection of the letter Z?
(4 points)
A
B
C
D
Answer:
kjsdhkjb
Step-by-step explanation:
Answer is a.
Rewrite 2.7 ÷ 0.3 as a fraction.
Answer:
the answer is 9
check the picture for workings
What's the plura form l of
[tex] \huge\mathfrak\pink{formula} \ [/tex]
What is the concept of cause and effect?
A.
when an action causes something to come into effect
B.
when an action is caused but there is no resulting effect
C.
when an action doesn't actually have a resulting effect
D.
when an action leads to an effect that is not desired
Answer:
A. when an action causes something to come into effect
Step-by-step explanation:
Mark as brainliest please. Hope the answer helps :)
What transformation of Figure 1 results in Figure 2.? Select from the drop-down menu to correctly complete the statement. A Choose... of Figure 1 results in Figure 2. Figure 2 is a triangle and it is a transformation of Figure 1
Answer:
fliped up ward
Step-by-step explanation:
Answer:
a rotation,
Step-by-step explanation:
just took the quiz
Which choice is similar to the figure shown?
Please help I’m confused on what to do.
The top left figure is similar with the figure given in this problem.
What are similar figures?Two figures are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Hence the top left figure is similar with the figure given in this problem, as:
5/2 = 20/8.The angle measures are the same.More can be learned about similar figures at brainly.com/question/14285697
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luisa is building a sand box in her backyard. she places four pieces of wood in a rectangle to form the frame. the rectangle is 4 feet long and 3 feet wide. how can she use a measuring tape to make sure that the corners of the frame will be right angles?
Answer:
As we know rectangles have 90 degree angles at all 4 of its corners.
In this question we know that the length is 4 feet while the bredth is 3 feet.
Therefore to solve this answer we can use the Pythagoras theorm.
By Pythagoras:
[tex]4^{2} + 3^{2} = diagonal^{2}[/tex]
Therefore the diagonal must be 5 feet
So if Luisa measures the diagonal with a tape and it measures 5
Then it proves that all 4 corners due have 90 degree angles
Please do mark my answer as brainliest. It would really help me answer more of such questions in the future :)
what is a name for the marked angle
Answer:
You can name a specific angle by using the vertex point, and a point on each of the angle's rays. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size.
Does any body know how to find Late Payment in Mathematics.
Answer:
I don't believe there is a standard formula for late payments. The late payment charge would vary by the lending institution. Some may have their own formula and some may have a set charge.
Step-by-step explanation:
15 divided by 8.145 no need to explain
Answer:
1.841621
Step-by-step explanation:
15÷8.145
1.841621
George bought a model of a Viking ship for $68. If he paid
$5.10 in sales tax, what was the sales tax rate?
Answer:
We can convert 6.75% to a decimal by dividing by 100.
If x is the price of the house, then the sales tax is 0.0675x. The price of the house and the sales tax add up to $319,000.
x+0.0675x=319,000
Combe terms on the left.
1.0675x=319,000
Finally, divide both sides by 1.0675.
x=319,0001.0675=298,829.04
PLEASE HELP NO LINKS IM TIMED
it is c bc u divide and then it will be alone it is c
Answer:
3: multiply by -2
6: y= 2 2/9
Hope this helped!
What is the measure of arc QSR?
Answer:
i need a picture for this problem.
Step-by-step explanation:
Answer:
250°
Step-by-step explanation:
Got it right on edge
Mhanifa can you please help? I will mark brainliest! This is due soon!
Answer:
In a n -sided polygon, sum of its interior angles is (n−2)×180∘ , hence sum of the interior angles in a convex hexagon is (6−2)×180∘=720∘ .
Answer:
Q1Sum of interior angles on n-sides polygon is:
S = (n - 2)*180°Sum of interior angles of a hexagon (6-sided polygon):
S = (6 - 2)*180° = 4*180° = 720°Q9Sum of exterior angles of any polygon is 360°
Each exterior angle of a pentagon is:
360°/5 = 72°hi pls answer <333333
Answer:
6 , -6 , -9 , 9
.................... .....
Answer:
mom
Step-by-step explanation:
Please help me!
No links!!! Please!
Answer:
d = -3
Step-by-step explanation:
-3 -9 = -12
-12/6
= -2
In ΔVWX, v = 5.4 cm, x = 5.9 cm and ∠X=64°. Find all possible values of ∠V, to the nearest 10th of a degree.
Answer:
34
Step-by-step explanation:
Answer:55.3
Step-by-step explanation:
Can some please help me?
First person gets Brainliest, 10 points!
Answer:
oof iiiiiimmmmmmmmmso sorrry
Write an equation for slope -4 y- intercept0
Answer:
Step-by-step explanation:
If the slope of this line is -4 and the y-intercept is 0, then we can write the slope-intercept equation for this line as
y = -4x + 0, or just y = -4x