Question

find dy by dx if x cube + y cube equl to 12xy​

Answer 1

Answer:

Given, x2+y3=3axy...(1)

Differentiating equation,

⇒3x2+3y2dxdy=3a(xdxdy+y)

⇒3x2+3y2dxdy=3axdxdy+3ay

⇒(3y2−3ax)dxdy=3ay−3x2

⇒3(y2−ax)dxdy=2(ay−x2)

⇒dxdy=y2−axay−x2

Explanation:

Hey mate plz mark me brainlist ☝☝