The differential equation obtained by eliminating A and B from $$y=A \cos \omega t+B \sin \omega t$$

The Cartesian equation of a plane which passes through the points $$\mathrm{A}(2,2,2)$$ and making equal nonzero intercepts on the co-ordinate axes is

If $$y=x \tan y$$, then $$\frac{d y}{d x}=$$

$$\int_\limits0^\pi \frac{1}{4+3 \cos x} d x=$$