Question

Pam owns an electronics store with storage capacity for 100 computer tablets. She currently has 90 computer tablets in inventory and determines that they are selling at a daily rate equal to 17% of the available capacity. When will Pam sell out of computer tablets?

Answer 1

the available capacity with an inventory of y is 100-y

so, we have

dy/dt = -0.17(100-y)
That is, putting it into the usual LDE form,

y' + 0.17y = -17
y = 100-c*e^(.17x)

Now use y(0) = 90 to find c and when y=100