Browse:
1. Tags (more)
-
logarithimic probability of coins mass percentage genotypic ratios what this dilutions logarithm covalent bonds points on a line _chem_help_asap energy transformation mircobiology please no more algabra algebra foreign languages
2. Subject:
- advice-classes
- advice-extracurricular
- algebra
- art
- biology
- calculus
- chemistry
- classes
- clubs
- computer-related
- economics
- english
- extracurricular
- geometry
- history
- languages
- music
- physics
- sports
- student government
- tests (SAT, TOEFL, etc.)
- other - mathematics
- other - sciences
- other - social sciences
- other
3. Subject and grade
Answer this question or recommend an answer
Numerical Solution
Build a numerical solution for the following initial-value problem. Plot your data to observe patterns in the solution. Is there an equilibrium solution? Is it stable or unstable?an+1 = 1.1a
Add a comment
- By Sharon |
- Category: other - mathematics |
- Grade level: college and above
- Aug/26/2008 |
- Answers to this question: 1
Answer by: Ganesha
First Answer
an+1 = 1.1a.
The right side is not dependent on n . Hence the right side a constant independent of n. That means an+1 is in equilibrium ste only, for all n.
If you mean an+1 = 1.1an==>
a1 = 1.1a0
a2 =1.1(a1) = (1.1)2a0
|||ly,
an = (1.1)na0 . The an according to the model grows large , without equilibrium state, for large n.
Let us have a poulation of 100 mice. Their population values according to model is as below.(Please read the fractions to nearest whole, as it is only a model)
Mice population of n+1st generation an+1 = 1.1an
The right side is not dependent on n . Hence the right side a constant independent of n. That means an+1 is in equilibrium ste only, for all n.
If you mean an+1 = 1.1an==>
a1 = 1.1a0
a2 =1.1(a1) = (1.1)2a0
|||ly,
an = (1.1)na0 . The an according to the model grows large , without equilibrium state, for large n.
Let us have a poulation of 100 mice. Their population values according to model is as below.(Please read the fractions to nearest whole, as it is only a model)
Mice population of n+1st generation an+1 = 1.1an
| generation n | population of mice |
| 0 | 100 |
| 1 | 110 |
| 2 | 121 |
| 3 | 133.1 |
| 4 | 146.41 |
| 5 | 161.051 |
| 6 | 177.1561 |
| 7 | 194.87171 |
| 8 | 214.358881 |
| 9 | 235.7947691 |
| 10 | 259.374246 |
| 11 | 285.3116706 |
| 12 | 313.8428377 |
| 13 | 345.2271214 |
| 14 | 379.7498336 |
| 15 | 417.7248169 |
| 16 | 459.4972986 |
| 17 | 505.4470285 |
| 18 | 555.9917313 |
| 19 | 611.5909045 |
| 20 | 672.7499949 |
Was this helpful?
0
0
- Aug/30/2008 |
- Answers by Ganesha: 1193 |
- Contact |
- Report abuse
I tutor tests (SAT, TOEFL, etc.), physics, geometry, calculus, algebra.
View my profile
Ask a question
Ask Tutors, fellow students and other clever folks.
Help students
Help students by sharing what you know.
