Question

State whether the following statement is true or false: 

The differential equation obtained by eliminating arbitrary constants from bx + ay = ab is `(d^2y)/dx^2` = 0.

Answer 1

This statement is true.

Explanation:

• By differentiating the equation `bx + ay = ab` twice with respect to x, we obtain `(d^2y)/dx^2` = 0 after eliminating the arbitrary constants a and b.
• Since this matches the given differential equation.