Question

Write the order of the differential equation `sqrt(1 + (dy/dx)^2) = ((d^2y)/dx^2)^(3/2)`.

Answer 1

Step 1: Understanding the differential equation:

The given differential equation is:

`sqrt(1 + (dy/dx)^2) = ((d^2y)/dx^2)^(3/2)`

Step 2: Identify the order of the differential equation:

• The order of a differential equation is the highest derivative present in the equation.
• In this equation, the highest derivative present is `(d^2y)/dx^2` (the second derivative of y).

The order of the given differential equation is 2.