Question

Write the sum of the order and degree of the differential equation (d²y/dx² )² + (dy/dx)³ + x⁴ = 0

Answer 1

Given differential equation is (d²y/dx² )² + (dy/dx)³ + x⁴ = 0 

Here, we see that the highest order derivative is d²y/dx² , whose degree is 2.

Here,order = 2 and degree = 2

Sum of the order and degree = 2 + 2 = 4