Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. algebra
  3. we regard the equation 3 as standard form of an ud

we regard the equation 3 as standard form of an UDE OI course the ODE...

60.1K

Verified Solution

Question

Algebra

image

we regard the equation 3 as standard form of an UDE OI course the ODE has order k Note that the function X tX t is a vector valued function of the real variable t and as such it is a curve in R Each X has n components X t X 1 X 1 X t and therefore all the derivative of it has n components X 1 X 1 for 1 k Consequently the function f appearing on the right hand side of 3 has n components f f ff each f being a real valued function d X 1 dt MATHEMATICS Consequently the DE 3 is actually the following system of ODE in the functions t X t t X t t X t d X dX 1 X d di d X dr 1 1 X d X di ft X t X t dX d X dt dit 1 dX dt dx dt 1 3 At this stage we become more specific about the features of the ODE 3 or equivalently about the system 4 Let I be an open internal and let denote an open subset of R We consider the open sets Ixnx R xXR there being k 1 copies of R in the above Cartesian product This set is being designated to accommodate the variable quantities 4 dit 1 Clearly the function f appearing on the right hand side of 3 must have this set as its domain of definition dX dk X Choosing 1 1 x En and www in R we form the initial Now the initial value problem for the ODE condition fo W WW 3 is the following pair d X f

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Advance Math
1.2K views

1. (15pts) A standard 52-card deck consists of 13 cards from each of 4 suits (spades, hearts,...

Advance Math
1.2K views

solve using method of undetermined coefficients. y''-5y'-4y=cos2x

Basic Math
1.2K views

Give the measure of the supplement of the angle.yThe measure of the supplement of the...

Basic Math
1.2K views

Sketch the graphs of the three functions by hand on the same rectangular coordinate system....

Statistics
1.2K views

You have a really annoying stapler that seems to randomly jam On any given attempt...

Statistics
1.2K views

6 32 of a certain country s voters think that it is too easy to...

Algebra
1.2K views

2 The equation x y 2 is graphed to the right Reflect the graph across...

Accounting
1.2K views

ACC 102 1 . Cash receipts from sales equals sales minus a(n) a. decrease in...

Accounting
1.2K views

A cash budget would include: Multiple Choice gain on sale of equipment. ...

Accounting
1.2K views

Cual es el total de stockholders' equity basado en la siguiente informacion? Common Stock Excess...

Accounting
1.2K views

https://docs.google.com/document/d/1mEUEnrxYFsR-9dIm2-GiNGjsRNaMhOm2Q0Zip1Qv5Rc/edit?usp=sharing

Accounting
1.2K views

1- Wallowa Company compr suministros por un valor de $6,000 y debit los suministros por...