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(dy)/(dx)=(x^(2))/(2xy)...

`(dy)/(dx)=(x^(2))/(2xy)`

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The general solution of differential equation (dy)/(dx)=e^((x^(2))/(2))+xy is

The integrating solution of differential equation (dy)/(dx) = e^((x^(2))/(2)) + xy is

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

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

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

The general solution of differential equation (dy)/(dx)=e^(x^(2)/2)+xy is (i)y=ce^(-(x^(2))/(2))(ii)y=ce^((z^(2))/(2)) (iii) y=(x+c)e^((z^(2))/(2))(iv)y=(c-x)e^((z^(2))/(2))

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

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

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