Question

Determine whether the function is a solution of the differential equation y^(4) - 16y = 0.

Answer 1

Step 1 :

The differential equation is .

The function is .

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Apply derivative on each side with respect to x.

Since above equation is matches with the given differential equation, the function is

a solution of the differential equation .

Solution :

The function is a solution of the differential equation .