Question

Write the degree of the differential equation

(y")² + 3(y")³ + 3xy' + 5y = 0

Answer 1

Given differential equation:

(y")² + 3(y")³ + 3xy' + 5y = 0

Step 1: Find the order

The highest order derivative present is y" (second derivative).

So, Order = 2

Step 2: Find the degree

Degree is the power of the highest order derivative, provided the equation is a polynomial in derivatives.

Here, the highest order derivative is y".

The highest power of y" is 3 (because of (y")³).

So, Degree = 3.