Hi guys, this is my first post but have read the forums for a long time - a quick search didnt bring up anything that could help me. So i was wondering if someone could please explain something to me.(adsbygoogle = window.adsbygoogle || []).push({});

I have a differential equation

(excuse the pictures, I dont know how to use the equation writer in this?)

and basically I have to get it into a seperable form and simplify like I have done in the picture.

In the picture I explain what I want to know, basically

how come the dy/dx e^(8x) + 8ye^(8x) can be written as d[e^(8x)]/dx ... where do the other terms go? I have been doing a few of these problems by following examples, and its not explained and I have been taking it for granted that this happens ... but I want to know why?

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

Dismiss Notice

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!

# 1st order linear differential equations - integrating factors

Loading...

Similar Threads - order linear differential | Date |
---|---|

I Equality of two particular solutions of 2nd order linear ODE | Nov 25, 2017 |

I General solution to linear homogeneous 2nd order ODEs | Apr 27, 2016 |

Linear approximation higher order terms | Feb 14, 2013 |

A second-order non-linear (but simple) DE | Dec 2, 2009 |

Second Order homogeneous linear differential equation solution | Sep 9, 2008 |

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