Solving for k1 and k2 in a Simple Electrical Engineering Question

[wk1989]

Hi, I'm doing an introductory electrical engineering course on my own and so far have gotten a few pages into the book. I understand pretty much all the problems so far except for this one.
"The charge entering a terminal of an element is given by the equation

q(t) = (k1)t^2+(k2)t

Where 1 and 2 are subscripts.
If i(0) = -5 A and i(1)=+5A, find k1 and k2."

I think you have to use the integral of i(t) which gives q(t) but I'm not sure how to start. Any help would be appreciated.

 

[berkeman]

Not the integral of i(t), instead start with this basic equation:

$$i = \frac{dq}{dt}$$

 

[wk1989]

thanks!

 

[unplebeian]

Just a note to the OP, such type of solving for constants can be seen in solving particular solutions for differential equations and Fourier series (if you take it a step ahead.) Just something to remember, so that when you actually see it later on, it'll be a piece of cake.