Question

Find the sum of order and degree of the differential equation d²y/dx²=[1+(dy/dx)²]³

Answer 1

Here, highest differential term is d²y/dx².

so, order of the given differential equation is 2.

As power of highest differential term is 1,

so, degree of the given differential equation is 1.

∴ Sum of order and degree of the given differential equation =2+1=3