Solve the differential equation `(x-1)(dy)/(dx)=2xy`, given that `y(2)=1`

Solve the differential equation (x+1)(dy)/(dx) =2xy, " given that " y(2)=3.

Solve the differential equation (dy)/(dx)=1-x+y-xy

Solve the differential equation x(x^2-1)(dy)/(dx)=1 , given that when x=2, y=0 .

Solve the following differential equation: (x-1)(dy)/(dx)=2xy

Solve the differential equation (x+2y^(2))(dy)/(dx)=y, given that when x=2,y=1

Solve the differential equation (d^(2)y)/(dx^(2))=log|x| given that y=1,(dy)/(dx)=-1, when x=1

Solve the differential equation x(d^2y)/dx^2=1 , given that y=1, (dy)/(dx)=0 when x=1

Solve the differential equation (dy)/(dx)+(1)/(x)y=xy^(2)

Solve the differential equation y^(2)(dx)/(dy) + x = 1 .

Solve the differential equation (x+y)dy+(x-y)dx=0; given that y=1 when x=1.