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

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

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

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

Find the particular4solution of the differential equation (x-y)(dy)/(dx)=x+2y, given that when x=1,y=0

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

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

Solve the differential equations: (x-y)dy+(x+y)dx=0

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

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

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