Hello Physics Forums,(adsbygoogle = window.adsbygoogle || []).push({});

I sometimes come across statements like this (from http://beige.ucs.indiana.edu/B673/node62.html" [Broken]):

Now assume a solution of the following form: x(t) = Ae^{at}

What is the motivation/background to make such an assumption? In this case the equation to be solved is x'' = 100x. Why would you assume the solution can usefully be written in that exponential form, or at all? Why does that type of step seem to be used so often? What is the role ofA(a matrix I suppose...?) anda?

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Why assume a solution in exponential form?

**Physics Forums | Science Articles, Homework Help, Discussion**