`(1-x^(2))(dy)/(dx)-2xy=x-x^(3)`

(1-x^(2))(dy/dx)+xy=xy^(2)

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

Solve: (1+x^2)(dy)/(dx)+2xy=cosx

dy/dx+2xy=e^(-x^2)

Solve the differential equation (1+x^(2))dy/(dx)=4x^(2)-2xy

The differential equations of all circle touching the x-axis at orgin is (a) (y^(2)-x^(2))=2xy((dy)/(dx)) (b) (x^(2)-y^(2))(dy)/(dx)=2xy ( c ) (x^(2)-y^(2))=2xy((dy)/(dx)) (d) None of these

Solve the differential equation (1 + x ^(2)) (dy)/(dx) = 4x ^(2) - 2xy

IF of the following differential equations. (1-x ^2)(dy //dx) + 2xy = x ( 1- x^2 ) ^(1//2)

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

If y sqrt(x^(2)+1)= log (sqrt(x^(2)+1)-x) , prove that (x^(2)+1)(dy)/(dx) +xy+1=0 .