1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka-Z-Leto [24]
3 years ago
13

X^2 y''+4xy'+2y=0 cauchy euler equation

Mathematics
1 answer:
sammy [17]3 years ago
7 0
Let y=x^r, then

x^2(r(r-1)x^{r-2})+4x(rx^{r-1})+2x^r=0
r(r-1)x^r+4rx^r+2x^r=0
r(r-1)+4r+2=0
r^2+3r+2=0
(r+2)(r+1)=0
r=-1,-2

This admits a general solution of

y=C_1x^{-1}+C_2x^{-2}
You might be interested in
Due to random variations in the operation of an automatic coffee​ machine, not every cup is filled with the same amount of coffe
DaniilM [7]

Answer:

465

because it is the wright answer

5 0
2 years ago
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0
3 years ago
Triple w, then multiply v by the result variable expression help
Lelechka [254]
Triple w is just 3w, so v times that is just 3vw
4 0
3 years ago
Research suggest that people are less likely to become repeat offenders if they stay out of the prison system. Why do you think
kondaur [170]

Answer:

Yes prison breeds criminal minds

Step-by-step explanation:

When you send a person to a house filled with just criminals they will just become more criminal minded. If they spend a long time in the prison system too the person will forget how life outside was. It will be like sending a child into the outside world except with a ton of knowledge on how to rob and stuff like that.The american prison system is one of the shadiest systems to be created in my opinion.Its a system built for you to come back over and over.Usually when you get out u have less opportunities for a job.Forget about having a career if you went to prison for literally anything.Your family might disown you or forget you. Its just heartbreaking to see prisoners come out of jail just to have even less opportunity to change their life than before they went. It will get to a point where you need to do crime to survive or live comftorably on the outside world. The american prison system is just built to get revenge on someone and ruin their whole life. I know some European countries have an amazing prison system where they fix you and give you opportunities to become better. Thing is in america we dont want to help the guy that scammed or killed a friend of ours. We just end up hoping their life is miserable and thats our prison system.Its absolutely disgusting.Instead of heavily punishing these people and sending them into the world without help. We should help them and make them better people for our society.Im sorry if this is very disorganized and hard to understand i just wrote what my mind blurted into this keyboard

5 0
3 years ago
Read 2 more answers
Write the ratio in simplest form: 27 red markers to 12 blue markers
elena-14-01-66 [18.8K]
What do you mean by this? Do you have a picture
6 0
3 years ago
Other questions:
  • Identify the property used in the first five steps to solve the equation 2(x – 5) - 6x= -22
    8·1 answer
  • Hal wants to make a 2 1/2 foot banner from a 5-foot length of cloth. If he has marked 2.0 on the cloth, what does he have to do
    14·2 answers
  • What is the value of x in the figure? <br><br><br> x= ?
    8·2 answers
  • The scatterplot below shows the number of year of experience of 8 different wedding photographers and the number of weddings the
    7·1 answer
  • what is the volume of the rectangular prisms with a length of 1 5/8, a width of 3/8, and a height of 3in
    5·1 answer
  • Josh and Kim went bowling this evening. Josh had 36 more points than Kim.
    8·1 answer
  • HelP me please ASAP please 15 points
    15·1 answer
  • If 500 pieces of something is a pound how much does 1 piece weigh?
    12·1 answer
  • Who can help to develop and solve an algebraic equation for this question? ​
    14·1 answer
  • Find the measure of Angle 8
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!