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.`

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation (xe^(y/x)+y)dx=xdy, y = 1 when x = 1.

Find the general solution of the differential equation y dx - (x + 2y^(2))dy = 0 .

Find the particular solution of the following differential equation dy=e^(2x+y)dx,y(0)=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 (dy)/(dx)+ycotx=2x+x^(2)cotx,xne0 given that y=0 when x=(pi)/(2)

Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .

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

Find a particular solution of the differential equation (x-y)(dx+dy)=dx-dy. Given that y=-1, when x=0.

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