First order linear differential equationsMany physical systems can be described by differential equations. Below is a question that involves a linear differential equation. There is also a link to a differential equation solver. Use the differential equation solver to find the answer to the question. The decay of radioactive elements is described by the equation, $\large \frac{dm}{dt}=-\Gamma m$. Here $m$ is the mass of the radioactive sample and $\Gamma$ is the decay rate. An isotope that is commonly used in medicine is technetium-99. These isotopes are produced in a nuclear reactor. The decay rate of technetium-99 is $\Gamma=$ 1/s. A sample of technetium-99 has a mass of mg. How many mg are there hours later? |