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Find the general solution of each of the following differential equations: `(dy)/(dx)=(1-cos x)/(1+cosx)` |
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Answer» Correct Answer - `y=2 "tan"(x)/(2)-x+C` `(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.` |
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