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Student's name
Chan Ka Ho 1155030076
Chan Wing Cheung 1155030120
Ying Sin Hang 1155031076
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1. What is ODE?

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3/11 


2. How does ODE relate to projectile motion? 
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1117/11 











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 welldefined and understood, and exact closed form solutions can be obtained. By
contrast, ODEs which do not have additive solutions are nonlinear, 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
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.
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