Find the particular solution of differential equation : `tan x dy/dx+y=2x tan x + x^2,xne0`, given that y=0 when `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 : cos x dy/dx+y sin x =4x cos^2 x,(x ne pi/0) , given that y=pi/3,x=pi/6 .

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

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 cot x (dy/dx) = y, y = 1 when x = 0 .

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

Find the particular solution of the differential equation : x^2 dy - y dx = 2x dy given that x = 3, y = 1