Find the particular solution to the following initial value problem `y'=2e^(2x)y^(2)`

Find the particular solution to the following initial value problem y'+2y^(2)=0,y(1)=1

Find the particular solution to the following initial value problem 3xy'=5y,y(1)=1

Find the particular solution to the following initial value problem (dy)/(dx)=4xy,y(0)=1

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 (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 (dy)/(dx)=-4xy^(2), given that y=-1, where 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 (dy)/(dx)+ycotx=2x+x^(2)cotx,xne0 given that y=0 when x=(pi)/(2)

For each of the differential equations in find the particular solution satisfying the given condition : 2xy+y^(2)-2x^(2)(dy)/(dx)=0,y=2 when x=1