Find the sum of the order and degree of the differential equation The differential equation y = x(dy/dx)^3 + d^2y/dx^2.

Q29 of 462 Page 22

Find the sum of the order and degree of the differential equation

Order = Highest order derivative present in the differential equation.

∴ Order = 2

Degree = Highest power of highest order derivative which is

∴ Degree = 1

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

Write the order of the differential equation representing the family of curves y = ax + a³.

Find the sum of the order and degree of the differential equation

Find the solution of the differential equation