If xp yq = (x+y)p+q , Prove that (i) dy/dx = y/x (ii) d2y/dx2 = 0 - Maths - Continuity and Differentiability

Question

If xp yq = (x+y)p+q , Prove
that
(i) dy/dx = y/x
(ii) d2y/dx2 = 0

Varun.Rawat · Accepted Answer

Refer the following link for the part(1) :

https://www meritnation
com/ask-answer/question/if-xp-yq-x-y-p-q-prove-that-dy-dx-y-x/continuity-and-differentiability/2253587

2
We have,dydx = yxd2ydx2 = y ddx1x + 1x dydx⇒d2ydx2 =y -1x2 + 1xyx⇒d2ydx2 = -yx2 + yx2 = 0

If xp.yq = (x+y)p+q , Prove that (i) dy/dx = y/x (ii) d2y/dx2 = 0