" (xiii) "(d)/(dx)(cosec x)=-cosec x*cot x,(x!=n pi,n in z)

(d)/(dx) (cosec x+ cot x )=

(d)/(dx)(sec^(2)x*csc^(2)x)=

d/(dx)(sqrt(sec^2x+cosec^2x))=

(d)/(dx)(sec^(-1)x+"cosec"^(-1)x)=0

(d)/(dx)sqrt(sec^(2)x+cosec^(2)x)=

Find a particular solution of the differential equation (dy)/(dx) + y cot x = 4x cosec x ( x ne 0) , given that y = 0 when x = (pi)/(2) .

Find a particular solution of the differential equation (dy)/(dx) + y cot x = 4x cosec x ( x ne 0) , given that y = 0 when x = (pi)/(2) .