Question

Find the order and degree of the D.E's

Question = 2.d²y/dx² = {5 + dy/dx)⁵/³

Answer 1

Given Equation is 2 * d^2y/dx^2 = {5 + dy/dx}^5/3.

Take '3rd power' on both sides,

= > 2^3 * (d^2y/dx^2)^3 = {5 + dy/dx}^5

= > 8 * {d^2y/dx^2)^3 - {5 + dy/dx}^5 = 0

Thus, The highest order is 2 with degree 3.

Hope this helps!