cos
sin
sin
cos
y
y
y
y
x
y
y dx
y
x
x dy
x
x
x
x
⎧
⎫
⎧
⎫
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
+
=
−
⎨
⎬
⎨
⎬
⎜
⎟
⎜
⎟
⎜
⎟
⎜
⎟
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
⎩
⎭
⎩
⎭
8 sin
0
dy
y
x
y
x
dx
⎛x
⎞
−
+
=
⎜
⎟
⎝
⎠
9 log
2
0
y
y dx
x
dy
x dy
⎛x
⎞
+
−
=
⎜
⎟
⎝
⎠
10 1
1
0
x
x
y
y
x
e
dx
e
dy
y
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
For each of the differential equations in Exercises from 11 to 15, find the particular
solution satisfying the given condition:
11