Question 1 second and third part and secondly i want to know for first part i am getting (x^2-y^2)dy/dx=2xy but i dont know why the answer key has double differentiated it

# Doubt from differentiation equation

Part 2)

y=(dy/dx)x

Is it correct?

Yes

Thanks

Can you tell fourth part too if possible

In the first part , you will get 2 arbitrary constants;

one for the radius and the other for the coordinates of the centre of the circle.

So it is differentiated twice.

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I understood my mistake i got the answer thanks for your working