Find the particular solution of the differential equation ; `(x^2+x y)dy=(x^2+y^2)dx` given that `y=0\ w h e n\ x=1.`

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

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

Find the particular solution of the differential equation xe^((y)/(z))-y+x(dy)/(dx)=0, given that y(e)=0

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

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

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

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

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