If ⁻¹ ( x^2-y^2 x^2+y^2 )=k (a constant), then d y d x is equal to

Step-by-step solution

aligned & Given, ⁻¹ ( x^2-y^2 x^2+y^2 )=k & x^2-y^2 x^2+y^2 = k aligned On differentiating w.r.t. x , we get array r (x^2+y^2 ) (2 x-2 y d y d x )- (x^2-y^2 ) (2 x+2 y d y d x ) (x^2+y^2 )^2 =0 array aligned & -4 x^2 y d y d x +4 x y^2 =0 & d y d x = y x aligned