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

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

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

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

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

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