The absolute value of a solution

[ChuckNoise]

Hi

I got this example in my textbook, where i need a little help.




The problem i am having is only sort of related to the differential equation, nonetheless can anyone tell me why it follows that |x(t)| = e^-2t?

Thanks!

 

[Dr.Peterson]

What does |x(t)| mean here? It is the magnitude of a vector, and if you expand that and apply the Pythagorean identity, you get e^{-2t}.

 

[ChuckNoise]

What does |x(t)| mean here? It is the magnitude of a vector, and if you expand that and apply the Pythagorean identity, you get e^{-2t}.

Of course! What a stupid mistake Thanks for pointing that out, in my mind i treated it like a scalar.

Thanks a lot