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

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 = -4xy^2 given that y = 1 when x = 0

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

Find the particular solution of differential equation : cos(dy/dx)=1/5,y(0)=2 .

Find the particular solution of differential equation : cos(dy/dx)=1/7,y(0)=2 .

Find the particular solution of differential equation : cos(dy/dx)=1/3,y(0)=2 .

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

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