Euler's Method for ordinary differential equations using Mathematica
   
Аnotation
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
| 1. | 1. | |
| 1.1 | 1.3 | 3. | 
| 1.2 | 1.64636 | 3.46364 | 
| 1.3 | 2.04076 | 3.94394 | 
| 1.4 | 2.48472 | 4.43963 | 
| 1.5 | 2.97968 | 4.9496 | 
 Conclusion:   The solution derived by using the Euler's method is in the form of a table of the variable function y(x), displayed in the second column of the table above. Since the apriori error of the method is О( ) and here h=0.1, then these solutions must be taken rounded to only two symbols past the decimal point.
) and here h=0.1, then these solutions must be taken rounded to only two symbols past the decimal point.
Graphic of the solution
  
  
  
  
| Created by Wolfram Mathematica 6.0 (22 September 2008) |  |