Mathematics

Mathematics

Problem

A curve passes through the point (1,π4)\left(1, \frac{\pi}{4}\right) & its slope at any point is given by yx−cos⁡2(yx)\frac{y}{x} - \cos^2\left(\frac{y}{x}\right). Then the curve has the equation - (A) y=xtan⁡−1(ln⁡ex)y = x \tan^{-1}\left(\ln \frac{e}{x}\right) (B) y=xtan⁡−1(ln⁡+2)y = x \tan^{-1}(\ln + 2) (C) y=1xtan⁡−1(ln⁡ex)y = \frac{1}{x} \tan^{-1}\left(\ln \frac{e}{x}\right) (D) none of these

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