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## Homework Statement

The equation is

x'' - m

^{2}x - m

^{2}b = 0.

m and b are constants. x'' is the second derivative of x, with respect to time.

## Homework Equations

## The Attempt at a Solution

When I did a differential equations course, I was taught to find the characteristic equation of the differential equation, then solve that. I tried it, but obviously it gave me an answer that was e to the power of something.

Which is not in the right format. How did the book do this? Can anyone get me started?

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