Find the general solution of each of the following differential equations:
`(dy)/(dx)=(1-cos x)/(1+cosx)`

Answer

`y=2 "tan"(x)/(2)-x+C`

Explanation

`(dy)/(dx)=(1-cosx)/(1+cosx)=(2sin^(2)(x//2))/(2cos^(2)(x//2))="tan"^(2)(x)/(2)=("sec"^(2)(x)/(2)-1)`
` therefore int dy = int ("sec"^(2)(x)/(2)-1)dx.`