(a) Show , where is a constant to be determined. (b) Hence find the general solution…

MATHEMATICS · Subjective · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

(a) Show

\int \frac{1}{1+\cos\theta} d\theta = k \tan \frac{\theta}{2} + C

, where

k

is a constant to be determined. (b) Hence find the general solution of the differential equation

(1 + \cos \theta) \frac{dx}{d\theta} + x^2 = 1.

[There is no need to simplify your general solution.]