Find the function of y(x) (for x>0) which satisfies the separable differential equation dy/dx=(10 14x)/xy², with the initial condition y(1)=5.
a) Option 1: y(x) = 5x/(2 - 7x²)
b) Option 2: y(x) = 5x/(2 + 7x²)
c) Option 3: y(x) = 5/(2 - 7x)
d) Option 4: y(x) = 5/(2 + 7x)