It seems that you're asking about solving a system of differential equations using the elimination method. Unfortunately, the elimination method is used for solving systems of linear equations, not differential equations. The given system consists of second-order nonlinear differential equations.
To use the elimination method to solve the system:
1. Start by multiplying the first equation by y2 and the second equation by -y1.
2. This gives us:
y′′1y2 = 2y1y2t
-y′′2y1 = -y12y2et
3. Now we can add the two equations together:
y′′1y2 - y′′2y1 = 2y1y2t + y12y2et
4. This simplifies to:
(y1y2)'' = 2y1y2t + y12y2et
5. Finally, we can integrate both sides to get the solution:
y1y2 = ∫(2t + e-t) dt
y1y2 = t2 - e-t + C
where C is a constant of integration.
Therefore, the solution to the system using the elimination method is:
y1y2 = t2 - e-t + C
For such problems, you may want to consider using numerical methods like Euler's method or Runge-Kutta methods to obtain approximate solutions, or consult with a specialist in differential equations to explore other possible techniques for solving the given system.
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Main Answer:To solve this equation, we need an initial condition or boundary condition to determine the specific solution. Once we have the solution for z, we can substitute it back into the first equation (y′′ = 2yzt) to find the solution for y.
Supporting Question and Answer:
How do we solve a system of differential equations using the elimination method?
To solve a system of differential equations using the elimination method, we differentiate the equations and manipulate them to eliminate one variable at a time. This allows us to express one variable in terms of the other variables, reducing the system to a simpler set of equations.
Body of the Solution: To solve the system of differential equations using the elimination method, we will eliminate one variable at a time by differentiating the equations. Let's denote y₁ as y and y₂ as z for simplicity.
Given system:
y′′ = 2yzt z′′ = 2yz - e^t
Step 1: Differentiate the first equation with respect to t. y′′′ = 2(z′t + z) + 2yzt
Step 2: Substitute the value of y′′′ into the second equation. 2(z′t + z) + 2yzt = 2yz - e^t
Simplifying the equation:
2z′t + 2z + 2yzt = 2yz - e^t
Step 3: Rearrange the terms to isolate z′.
2z′t + 2z - 2yz + e^t = 0
Step 4: Divide the equation by 2t to isolate z′.
z′ + z/t - y + e^t/2t = 0
This equation represents a first-order linear differential equation in terms of z.
Final Answer:The single required equation is: z′ + z/t - y + e^t/2t = 0
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School
PLEASE HELP WITH THIS QUESTION: One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shells tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.
Help with this please!
Answer:
47
Step-by-step explanation:
mean is found by dividing the sum of the terms by the number of terms:
(43+48+41+41+x)/5=44
173+x=220
x=220-172=47
1 Calcula de la medio aritmética, la mediana
y la moda. Se analizó el IVA que se oplico
en diversos países europeos, a la compra de
obras de arte. Los resultados obtenidos
fueron los siguientes:
PAIS
España 0,16
Holia 0,20
Belgica 0,06
Holanda 0.06
Alemania 0,07
Portugal 0,17
Luxemburgo 0,06
Finlandia 0,22.
Answer:
Step-by-step explanation:
orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .
5x+4y=58
3x+8y=46
Do with substitution method
I will give the brain thing
Work would be awesome but not required
Answer:
they are both correct and also what is the question
Step-by-step explanation:
Show work. Will mark branliest
Answer:10
Step-by-step explanation:
12 x 30 to see how many bottles per hour
360 x 8 to see how many it makes in a day
Divide 28,000 by 2,800 to see how many days it would take.
Step-by-step explanation:
first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.
How many kids are there in the US
Answer:
74.2 million children under the age of 18
Step-by-step explanation:
Answer:
74•2 million kids are in the usa
A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
Find the experimental probability of landing on a 2.
12
Answer:
1/6 times the number cube wil land on 2
Step-by-step explanation:
I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!
I will do the first example, by explaining how to graph it. Then you can do the second example.
[tex]f(x) = x^3-10x^2+28x-24[/tex]
We start by determining the the x-intercepts, by letting y = 0:
[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]
The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:
[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]
So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :
[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]
Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :
[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]
x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:
[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]
Minimum: (14/3, -256/27)
Graph is in the attachment below -
Please can I have the workings too
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{3-2a}{a^2}[/tex]
Step-by-step explanation:
Before we can subtract the fractions we require them to have a common denominator.
Multiply the numerator/ denominator of [tex]\frac{2}{a}[/tex] by a , then
[tex]\frac{3}{a^2}[/tex] - [tex]\frac{2a}{a^2}[/tex] ← with common denominator a²
Add numerators leaving the denominator
= [tex]\frac{3-2a}{a^2}[/tex]
can someone please help me find the value of y
Answer:
4y=48
y=48/4
y=12
therefore,the value of y is 12
6. Simplify the expression.
3n+5-12n-8+6p
Answer
-9n-3+6p
Step-by-step explanation:
Answer:
-9n - 3 + 6p
Step-by-step explanation:
You have to remember that you can add or subtract only LIKE terms. In other words, you can't add 3n + 5, so separate them.
In this equation: 3n + 5 - 12n - 8 + 6p,
1. 3n - 12n
2. 5 - 8
3. 6p
= -9n - 3 + 6p
Find the area of a square with sides of length 1/3 (fraction) yard.
Answer:
A. 1/3 sq yard*sneezes cutely
Step-by-step explanation:
change your name
DO IT. DO IT NOW. Why arent you listenin-
Finishe the lyrics.......ive been watching you for someone time can't stop staring at those________
Answer:
ocean eyes i looked this up
Step-by-step explanation:
Pleasssseeeee help its almost due
Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)
Answer:
C
Step-by-step explanation:
Given the tables of H(t) an r(t), we want to find:
[tex](H\circ r)(3.0)[/tex]
As stated, this is equivalent to:
[tex]=H(r(3.0))[/tex]
Using the r(t) table, we can determine that:
[tex]r(3.0)=2.0[/tex]
Therefore:
[tex]H(r(3.0))=H(2.0)[/tex]
And by using the H(t) table, we can determine that:
[tex]H(2.0)=2.5[/tex]
So, our answer is C.
Of the 42 people who work at white side industries, 5/6 work in the manufacturing plant. How many people work in the manufacturing plant? (Please hurry and show your answer )
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FASTEST ANSWER
Simplify. √2x (7 + √2x)
Answer:
Your answer : x1= 0
x2=-4.95
Mark my answer as brainlist.
Alfred has strawberries and tomatoes in his garden. He picked 314kg of strawberries in the morning. In the afternoon he picked 125kg more strawberries than he picked in the morning. How many kg of strawberries did he pick in the afternoon?
Answer:
439kg of strawberries in the afternoon
Step-by-step explanation:
This is simply 314+125
select all sets of side lengths that could form a triangle
Somebody plss (kinda easy tho)
Answer:
74 pesos
Step-by-step explanation:
Let us assume the one peso coins be x
so, number of five peso would be x + 4
And, the total coins is 22
Now the equation is
x + x + 4 = 22
2x + 4 = 22
2x = 22 - 4
2x = 18
x = 9
Five peso coins is 9 + 4 = 13
Now
= 9(1) + 13(5)
= 9 + 65
= 74 pesos
-1 ,3 rotated 90 degrees
Answer:
If rotated clockwise, then (3, -1)
If rotated counterclockwise, then (-3,1)
Step-by-step explanation:
Hope that helps!
A function is represented by the graph. The y intercept of the function y=-2x+8 is what to the y intercept of the function represented in the graph
Answer:
8
Step-by-step explanation:
An algebraic expression is given. Use the expression to answer the following questions,
a) How many terms are there in the algebraic expression?
b) What is the numerical coefficient of the first term?
c) What is the constant term?
d) Does the algebraic expression contain like terms? If so, what are the like terms?
X+ 3+ 7x
The
Answer:
A. 2
B.1
C.3
D. (should be x and 7x but that isnt an answer choice so) no
Step-by-step explanation:
For given expression x + 3 + 7x,
a) the number of terms in an algebraic expression = 2
b) the numerical coefficient of the first term = 1
c) the constant term = 3
d) the like terms are x and 7x
What is an algebraic expression?"It is a mathematical expression that consists of variables, numbers and operations."
What is constant?"It is a value or number that never changes in expression."
What are like terms?"The like terms are defined as the terms that contain the same variable which is raised to the same power."
For given example,
We have been given an expression x + 3 + 7x
a) x + 3 + 7x = 3 + (1 + 7)x
= 3 + 8x
So, the number of terms in the algebraic expression = 2
b) for given expression x + 3 + 7x,
the first term is x
x = (1) × (x)
the numerical coefficient of the first term is 1.
c) for given expression x + 3 + 7x,
the constant term = 3
d) for given expression x + 3 + 7x,
the like terms are x and 7x
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Solve for x. −9x+2>18 AND 13x+15≤−4
Answer:
-16/9
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer: Choice B) Investment decreases by 3% each month
=====================================================
Explanation:
We won't use the value 2500 at all.
The base of the exponential is 0.97
Set this equal to 1+r and solve for r
1+r = 0.97
r = 0.97-1
r = -0.03
The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.
Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.
(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!
1. For the given equation, find the value of M when x=5. x + 3M = 14
2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay
Factor the polynomial using the greatest common factor.
4x9 + 3x2. 2x
Answer:
You can do it maybe ask you teacher for help! thats always okay!
Step-by-step explanation:
Given the Function below and the three point domain of {-2, 1, 3}, what is the matching three point range?
F(x) = 2x + 4
Answer:
sorry need points
Step-by-step explanation:
This meal costs $33.00.
A 7% sales tax is applied, followed by an automatic tip
of 18%.
What is the total with tax and tip?
Answer:
7% of $33.00 is $2.31
total $35.31
18% of $35.31 is $6.35
The total with tax and tip is $41.66
Brainly plz :))
The total cost of the meal after tax and tip will be $41.67.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
This feast costs $33.00. A 7% deals charge is applied, trailed by a programmed tip of 18%.
The cost after tax is given as,
⇒ $33 x 1.07
⇒ $35.31
The cost after the tip is given as,
⇒ $35.31 x 1.18
⇒ $41.67
The total cost of the meal after tax and tip will be $41.67.
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is y=x+3 a proportional relationship?
Answer: yes
Step-by-step explanation: im correcting my answer
Answer:
Yes
Step-by-step explanation:
The Ratio's Are Equivalent.