" 40."(x+2y^(2))(dy)/(dx)=y

(x+2y^(3))(dy)/(dx)=y

(x + 2y^(3)) dy/dx = y

x+y(dy/dx)=2y

(dy)/(dx)-2y=x

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1

Solve : y^(2)-x(dy)/(dx)=a(y+(dy)/(dx))

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

Solve y^(2)-x(dy)/(dx)=a(y+(dy)/(dx))

The solution of y-x((dy)/(dx)) = a(y^(2) + (dy)/(dx)) is