# Thread: Write a differential equation

1. ## Write a differential equation

Hi all,

Here's my problem:

A cell produces a metabolite at a constant rate orf 15 ng/hour. The metabolite is broken down at a rate proportional to the amount in the cell, .5 x(t).

How would I write a diff EQ that expresses this?

Thanks,

Kim

2. well you want to write an equation describing the rate of production of this whatever

so you produce 15 an hour regardless and you lose .5*x(t) per hour

so,

x'(t) = 15 - .5*x(t)

i believe