This is surely the simplest problem imaginable in DE, but it's been a few years and I'm having trouble recalling. The goal of my task doesn't necessitate relearning DE, so I thought I would take a shot at asking directly.(adsbygoogle = window.adsbygoogle || []).push({});

Simply, I wish to express the time-dependent rate equation [itex]\frac{dy(t)}{dt}=x-\frac{y(t)}{z}[/itex] as a function of time where [itex]x[/itex] and [itex]z[/itex] are known constants. I've been given a solution of [itex]y(t)=xz(1-e^{-t/z})[/itex] but I would very much like to remember how to get there. I do not have initial conditions, although [itex]y(0)=0[/itex] is a fair assumption for this problem.

Thank you very much in advance.

Note: this is not homework for a DE course.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Expressing time-dependent ODE

Loading...

Similar Threads - Expressing dependent | Date |
---|---|

B Calculate the expression of the antiderivative | Feb 19, 2018 |

A RK method for heat equation with dependent variables | May 2, 2017 |

A Wave equation in cylindrical coordinates - different expression? | Sep 19, 2016 |

PDE: How to use Fourier Series to express a real function? | Mar 11, 2015 |

Finite Difference Expressed As a Probability Generating Function | Oct 30, 2014 |

**Physics Forums - The Fusion of Science and Community**