Question

Show that the function y = f (x) is a solution of the differential equation.

Answer 1

Step 1:

The function is .

Apply derivative each side with respect to .

Apply derivative of exponential function:  .

.

Step 2:

The function is .

Apply derivative each side with respect to .

Apply derivative of exponential function:  .

.

Substitute in .

The function is a solution of the differential equation

Solution :

The function is a solution of the differential equation