INSTRUCTOR 
Prof. Andrew Knyazev
Office: CU (Dravo) 620G. Phone: 556-8102.
Office hours: Tue 3pm - 6pm

NA II       EXAM #2     (Sections 8.1-8.2, 12.2, 13.3)        Mon March 4 1996
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1. x (t) =  x(t) (t+1), x(0)=-1, h=1.
Find x(2) using Euler's method.
 


2. x (t) =  x(t) (t+1), x(0)=-1, h=1.
Find x(1) using Runge-Kutta method of the second order with    = 1.
 
3. x (t) = t - x (t), x(0)=-1, x(10)=0, h=1.
Write the first two equations (that correspond to the most left
points of the mesh) of the Finite Difference Approximation Method.
       
4. Let u(x,y)= xy and there is a uniform mesh with h=1 in both directions
such that the origin (0,0) belongs to the mesh. 
Using a standard five-point formula for 
find the value of      
at the point (1,1).