Solve the following ordinary differential equations:
i) cos ( ln sin ) 0 1 1 + + − = ⎥
⎦
⎤ ⎢
⎣
⎡ ⎟ +
⎠
⎞ ⎜
⎝
⎛ + y dx x x x y dy
x
y
ii) , 2
2 ; for cos cot e = − π
+ = x = y x y x
dx
dy
iii) y x
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