, y′, y″, y″′ etc Consider the
following differential equations:
2
3
2
3
2
2
d y
d y
dy
y
dx
dx
dx
⎛
⎞
+
−
+
⎜
⎟
⎝
⎠
 = 0 (9)
2
sin2
dy
dy
y
dx
dx
⎛
⎞
⎛
⎞
+
−
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
 = 0 (10)
sin
dy
dy
dx
⎛dx
⎞
+
⎜
⎟
⎝
⎠  = 0