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^xdx=0 , given that y(0)=1

Find the particular solution of the differential equation (1+e^(2 x)) d y+(1+y^2) e^x d x=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 w h e n x = 0 .

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

The solution of the differential equation x(e^(2y)-1)dy+(x^2-1)e^y dx=0 is

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 .

Find the particular solution of the differential equation (1+e^(2x))dy+(1+y^(2))e^(x)dy=0 , it is given that at x=0 , y=1 .