Exponential Growth: Determine t When k=q

[intenzxboi]

Homework Statement

Determine the period in which y = Cekt changes by a
factor of q.

I have no idea what it is asking.. find t when k=q?

 

[Hootenanny]

The question is asking to find the T (period) such that

$$y\left(t+T\right) = q\cdot y\left(t\right)$$

 

[intenzxboi]

y(t + T) = C ek^(t+T) = C e^kt+kT = C e^kt · e^kT = e^kT y(t).

so q= e^kT ??

 

[Hootenanny]

y(t + T) = C ek^(t+T) = C e^kt+kT = C e^kt · e^kT = e^kT y(t).

so q= e^kT ??

I'm afraid that my browser cannot render the special character that you have typed (the coefficient of T).

 

[intenzxboi]

I'm sorry huh?

 

[Hootenanny]

I'm sorry huh?

A special character 'placeholder' appears before each T in your expression, I thought that you may have typed a special character?

 

[HallsofIvy]

y(t + T) = C ek^(t+T) = C e^kt+kT = C e^kt · e^kT = e^kT y(t).

so q= e^kT ??

Yes, now solve for T.

 

[Hootenanny]

Yes, now solve for T.

Thanks Halls. For some reason I was getting special characters inside intenzxboi's expressions.

 

[intenzxboi]

Thanks guys.. without the help off all the tutors/mentor and other users i don't know how i will learn all this stuff