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Home » Mark (√) against the correct answer in the following: The solution of the is A. B. C. D. None of these
Mark (√) against the correct answer in the following: The solution of the D E \frac{d y}{d x}=\frac{1-\cos x}{1+\cos x} is
A. y=2 \tan \frac{x}{2}-x+C
B. y=\tan \frac{x}{2}-2 x+C
C. y=\tan x-x+C
D. None of these
CBSE | Class 12 | Linear Differential Equations | Maths | RS Aggarwal
Mark (√) against the correct answer in the following: The solution of the D E \frac{d y}{d x}=\frac{1-\cos x}{1+\cos x} is
A. y=2 \tan \frac{x}{2}-x+C
B. y=\tan \frac{x}{2}-2 x+C
C. y=\tan x-x+C
D. None of these

Solution:

\begin{array}{l} \frac{d y}{d x}=\frac{1-\operatorname{Cos} x}{1+\operatorname{Cos} x} \\ \frac{d y}{d x}=\frac{2 \sin ^{2} \frac{x}{2}}{2 \cos ^{2} \frac{x}{2}}, \\ \frac{d y}{d x}=\tan ^{2} \frac{x}{2} \end{array}
On integrating on both sides, we get \mathrm{y}-2 \tan \frac{x}{2}-x+C (the solution ol given equation)

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