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) - 3y cot x = sin 2x, (x ne 0) given that y = 0, x = pi/2 .

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

Find the particular solution of the differential equation log((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0

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

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)=e^x when it is given that y=1 for x=0.

Find the particular solution of the differential equation (dy)/dx = -4xy^2 given that y = 1 when x = 0

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