Let x k + y k = a k , a , k > 0 and d y d x + y x 1 3 = 0 , then k is

Question

Let x k + y k = a k , a , k &#62; 0 and d y d x + y x 1 3 = 0 , then k is

Aicharya · Accepted Answer

Differentiating the given equation with respect to x k . x k - 1 + k . y k - 1 d y d x = 0 &#8658; d y d x = - x y k - 1 &#8658; d y d x + x y k - 1 = 0 &#8658; k - 1 = - 1 3 &#8658; k = 1 - 1 3 = 2 3

Let x k + y k = a k , a , k &#62; 0 and d y d x + y x 1 3 = 0 , then k is

Solution

Let x k + y k = a k , a , k > 0 and d y d x + y x 1 3 = 0 , then k is