Chapter
12
Differential Equations
SUMMARY POINTs
� dy dx � f ( x, y) : First order differential equation
� Solving d y
� f ( x) g( y) by separating variables : dx dy
1 � f ( x) g( y) � d y f ( x) dx d x
� � g( y)
�
� Solving d y f ( x, y) dx � by Euler ’ s method , with ( x0, y
0) and step length h :
�xn�1
� xn
�h ��
� � dy yn� 1
� yn
�h d x
( xn, yn)
194
SE Production Limited