Math-305, Numerical Methods & Matrices
Classical Runge-Kutta Test Problem

Dr. Kevin G. TeBeest
 


       Classical Runge-Kutta 

       Approximate the solution of the IVP

               y'   =   y * cos(x)
               y(0) = 1

       on the interval [0, 2].

       x0 =   0.0000
       xf =   2.0000
       h  =   0.2000
       y0 =   1.0000


         n       x           y
      ******************************
         0     0.000      1.000000
         1     0.200      1.219776
         2     0.400      1.476116
         3     0.600      1.758809
         .      .          .
         .      .          .
         .      .          .
NOTE: In Part I you should obtain these results EXACTLY. If you do not, then you have an error in your code and you should NOT move on to Part II.

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