Find the particular solution of the differential equation `dy/(dx)+ycotx=4xcosecx`, `(x#0)`, given that `y=0` when `x=π/2`.

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

Find the particular solution of the differential equation (dy)/(dx)=-(x+ycosx)/(1+sinx) given that y=1, when x=0

Find the particular solution of the differential equation (dx)/(dy) + y cotx = 2x + x^2 cotx (x ne 0) given that y = 0 when x = pi/2

Find the particular solution of the differential equation dy/dx -y/x + cosec(y/x) = 0, (x ne 0) , given that y = 0, x =1 .

Find the particular solution of the differential equation (dy/dx) - 3y cot x = sin 2x, (x ne 0) given that y = 0, x = pi/2 .

Find the particular solution of the differential equation (dy)/(dx)=(xy)/(x^2+y^2) given that y=1, when x=0.