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Calc II


Guest Marc O

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Guest Super lurker ultra V12
  On 7/28/2011 at 1:00 PM, Marc O said:

9:00 AM is way too early for me to be learning about Taylor Series given my 4 hours of sleep. God damn adderall prescription....

 

8/9 bunny hat guys wearing sunglasses agree with chimpanzees that don't like Calc II to so early with little sleep. Right back up in your motherfuckin ass!

 

    Quote

Solving differential equations

 

Some differential equations cannot be solved in terms of familiar functions (just as some functions do not have antiderivatives which can be expressed in terms of familiar functions). However, Taylor series can come to the rescue again. Here we will present two examples to give you the idea.

 

[...]

 

Here we will study Airy's equation with initial conditions:

 

y'' = xy

y(0) = 1

y'(0) = 0

 

This equation is important in optics. In fact, it explains why a rainbow appears the way in which it does! As before, we will write the solution as a series:

 

http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/series/appsTaylor.html

 

:cisfor:

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