The general solution of the DE `(dy)/(dx) + y cot x = 2 cos x ` isA. `(y + sinx ) sin x = C `B. `(y + cos x ) sin x = C `C. `(y- sinx ) sinx = C `D. none of these

The general solution of the DE `(dy)/(dx) + y cot x = 2 cos x ` isA. `

1.	The general solution of the DE `(dy)/(dx) + y cot x = 2 cos x ` isA. `(y + sinx ) sin x = C `B. `(y + cos x ) sin x = C `C. `(y- sinx ) sinx = C `D. none of these
Answer» Correct Answer - C Given DE is linear. `IF = e ^(int cot x dx ) = e ^( log sin x ) = sinx `. ` therefore y (sinx ) = int 2 sin x cos x dx rArr y sinx = sin ^(2) x +C ` `therefore ( y - sinx ) sinx = C `.