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

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

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 : sin x dy/dx+y cos x =4x,(x ne 0) , given that y=0,x=pi/2 .

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 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) + y tan x = sin 2x given that y = 1, x = pi .

Find the particular solution of the differential equation cot x (dy/dx) = y, y = 1 when x = 0 .