| 
  • If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!

View
 

Activity Tracking 10

Page history last edited by CathyChan 11 years, 6 months ago

 

Angry cats!

 

Student's name

Chan Ka Ho                 1155030076

Chan Wing Cheung    1155030120

Ying Sin Hang             1155031076

 

Progress

Tutor Objective Activities Date Comment
 
1. What is ODE?
Search Wiki  3/11   
  2. How does ODE relate to  projectile motion? Search on Google  11-17/11   
         
         

 

 

 

 

 

 

 

 

 

Content

1. What is ODE?

http://en.wikipedia.org/wiki/Ordinary_differential_equation

 

Ordinary differential equation is an equation containing a function of one independent variable and its derivatives.
Linear differential equations are ones with solutions that can be added and multiplied by coefficients, and the theory
of linear differential equations is well-defined and understood, and exact closed form solutions can be obtained. By
contrast, ODEs which do not have additive solutions are non-linear, and finding the solutions is much more
sophisticated because it is rarely possible to represent them by elementary functions in closed form — rather the
exact (or "analytic") solutions are in series or integral form. Frequently graphical and numerical methods are used
to generate solutions, by hand or on computer (only approximately, but possible to do very accurately depending on the
specific method used), because in this way the properties of the solutions without solving them can still yield very
useful information, which may be all that is needed.  

A simple example is Newton's second law of motion — the relationship between the displacement of the object under the force 

which leads to the differential equation

m \frac{\mathrm{d}^2 x(t)}{\mathrm{d}t^2} = F(x(t)),\,

for the motion of a particle of constant mass m. In general,depends on the position of the particle at time and so the 

unknown function appears on both sides of the differential equation, as is indicated in the notation .

 

2. How does ODE relate to  projectile motion?

http://www.motiongenesis.com/MGWebSite/MGGetStarted/MGExampleProjectileMotion/MGProjectileMotion.html

http://physics.gmu.edu/~amin/phys251/Topics/NumAnalysis/Odes/projectileMotion.html

 

Comments (1)

sidjaggi said

at 4:08 pm on Nov 18, 2012

please tell us what you've been doing.

You don't have permission to comment on this page.