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math121b:midterm2 [2020/04/11 19:01]
pzhou [3. Bessel Function (30 points)]
math121b:midterm2 [2020/04/12 08:57]
pzhou [4. Solving PDE with separation of variables (30 points)]
Line 63: Line 63:
 $$ u(0, \theta) = \cos^2(\theta). $$ $$ u(0, \theta) = \cos^2(\theta). $$
  
 +Hint: you may find the following formula useful 
 +$$\cos(2\theta) = \cos^2(\theta) - \sin^2(\theta) = 2 \cos^2 \theta - 1. $$
  
  
math121b/midterm2.txt · Last modified: 2020/04/19 23:06 by pzhou