- #1

Phyzeeks

- 4

- 0

## Homework Statement

find three independent solutions using complex exponentials, but express answer in real form.

d^3(f(t))/dt^3 - f(t) = 0

## Homework Equations

## The Attempt at a Solution

after taking the derivative of z = Ce^(rt) three times

I put it in the following form:

Ce^(rt)(r^3 -1) = 0

and solved for r:

r^3 = 1

1 = e^(i*0)

and so

r = e^(i*0) = 1

1 is one of the solutions right? but I don't understand how it's possible to find 3 independent solutions to that differential equation.