![kittycat79](/avatars/22659.jpg)
kittycat79
07.08.2019 •
Mathematics
find two linearly independent power series solutions about the point x0 = 0 of
(x^2 ? 4)y"+ 3xy' + y = 0. state the minimum radius of convergence, and explain
why it is the minimum of radius of convergence.
Solved
Show answers
More tips
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- S Style and Beauty How are artificial nails removed?...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Properly Use a Water Level?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- H Health and Medicine How to Treat Styes: Causes, Symptoms, and Home Remedies...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- T Travel and tourism Lost in the Catacombs: What to Do?...
Answers on questions: Mathematics
- M Mathematics What is the ratio of the circumference for two circles with areas of 6pi m^2 and 150 pi m^2 a.1: 50 b.1: 5 c.1: 10 d.1.25...
- M Mathematics What s the perimeter and area of this object...
- M Mathematics How can the expression (6 – 1)x – 2(8y) be simplified? 7x – 10y 5x – 10y 7x – 16y 5x – 16y...
- M Mathematics What property describes the number sentence 6 + 0 equals 6...
- M Mathematics Which of the following is equivalent to log507 rounded to three decimal places? 2.010 0.497 −0.615 −0.854...
- M Mathematics The relative growth rate for a certain type of mutual fund is 5.1% per year. an account is opened with a balance of $35,000. how much is the mutual fund worth in 5 years?...
- M Mathematics Jacob is baking chocolate chip cookies. the recipe uses 3/4 cup of sugar. jacob wants to make one -half of a batch. how many cups of sugar does he need?...
- M Mathematics Riley is playing a game that requires rolling a number cube numbered 1-6 and spinning a spinner with three consonants and one vowel. the sections of the spinner are all the...
- M Mathematics Of the following options, what could be a possible first step in solving the equation 3x − 1 = 2x + 4? combining like terms, 3x + 2x = 5x subtracting 1 from both sides of...
- M Mathematics (8*10^7)(2*10^6) simplify the expression and write in scientific notation...
Ответ:
Assume a solution of the form
with derivatives
Substituting into the ODE, which appears to be
gives
which gives the recurrence for the coefficients
,
There's dependency between coefficients that are 2 indices apart, so we consider 2 cases.
Ifand so on, with the general pattern
![a_{2k}=\dfrac{(2k)!}{2^{4k}(k!)^2}a_0](/tpl/images/0172/6552/7ecfc.png)
Ifand so on, with
Then the two independent solutions to the ODE are
and
By the ratio test, both series converge for
, which also can be deduced from the fact that
are singular points for this ODE.
Ответ:
one way is to track what you spend. another way to become more financially responsible is to open a checking account and learn how to deposit you money into a bank
Step-by-step explanation: