An electric circuit switches instantaneously from a 5 volt battery to a 18 volt battery 3 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the function represented by your graph.

for t < V(t) =
for t ≥ V(t) =

At what point or points is your function dicontinuous?
t =

2 answers

doesn't it have a step disconunity at t=3? it goes from 5 to 18 in a step function.https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-the-unit-step-function
I don't think we need to use the Laplace transform, since they are specifying V(t) as a piecewise function.

Just specify two values for V to the left and right of t=3