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

1. `dy/dx=(x^2+y^2+1)/(2xy)`

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

The solution of (dy)/(dx)=(x^(2)+y^(2)+1)/(2xy) satisfying y(1)=1 is given by

The solution of (dy)/(dx)=(x^(2)+y^(2)+1)/(2xy) satisfying y(1)=0 is given by

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

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

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

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

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

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