To answer this question, you need to know what firmware version your PSP is running (see next question). Once you know that, the rule of thumb is that almost any PSP with firmware version 3.50 or lower is capable of running most homebrew. PSPs with later firmware versions are generally capable only of running some Macromedia Flash homebrew, which is somewhat restricted in its potential.

One simple answer : be patient and do not upgrade it! History has shown time and again that the most likely date for the release of a downgrader or homebrew loader for your firmware will be the day after you decide to upgrade to the next firmware. At which point, you'll kick yourself. The exploit developers can't do anything for you without your patience. See similar questions...

With current downgraders PSPs up to firmware version 3.50 can be downgraded to v1.5, or use a loader such as HEN or eLoader to run Homebrew code. You can often buy PSPs with specific firmware versions from sellers on eBay and similar auction sites. One of the surest ways to obtain a PSP with the right version is to ask the seller to let you turn it on and check the version number in the XMB, via the "System Information" menu item. See similar questions...

v1.0 PSPs are already fully homebrew-compatible, because the v1.0 firmware didn't ship with any anti-homebrew protection. See similar questions...

HEN (Homebrew Enabler) is an alternative homebrew launching method, for v2.71, 2.80 and 3.03 firmware only. To install HEN: If the psp freezes reboot your psp and try again. Currently the tiff is very unstable and it is only is executed sometimes. See similar questions...

Note that v2.80 can also support xLoader, although the installation process is exactly the same as eLoader, since the eLoader package includes xLoader. See similar questions...

Simply, homebrew is software that is produced by unofficial software developers, as compared with official software produced by developers licensed by the console manufacturer. Usually, homebrew developers are driven by the desire to make the console do things that the official developers haven't thought of, or got around to yet. Sometimes it's done because the homebrew developer thinks they can do better than the official software. See similar questions...

PSP has versions which run on Windows 3.x, Windows 95, Windows 98, Windows NT 3.51, NT 4.0, and NT 5.0 (Assuming that NT 5.0 actually runs.) See similar questions...

Scott Murphy maintains an on-line list of homebrew clubs. You can contact him by sending mail to: scott@gordian.com See similar questions...

PSP Version 3.0 through 3.12 and PSP 4.10, 4.12,and 4.14 are widely used. The final version of PSP 5.0 is now available, too. Only 3.12, 4.14, and 5.01 are available from the Jasc website last time I checked. Upgrade patches are available for registered users of 3.1 and 3.11 to upgrade to 3.12, and for registered users of 4.10 and 4.12 to upgrade to 4.14 (3.1 to 3.12 and 4.10 to 4.14 requires two patches, applied in order.) PSP 3.x runs on Windows 3.x. and NT 3.51. (And under Win95/NT 4?) PSP 4. See similar questions...

http://cal003109.student.utwente.nl/stefan or http://cal003102.student.utwente.nl An LCD FAQ is in the misc section, file lcd_faq.htm See similar questions...

The most common method is in bottles. These can be either the Grolsh kind, that have a stopper that is attached to the bottle, bottles that you put a crown cap on, or bottles that you cork. How do I get the labels of the bottles that I am going to use for my brew? The most effective method is Commonly said to be by soaking them in a solution of water and ammonia. Most labels will fall off after soaking overnight. See similar questions...

From Tucows (http://www.tucows.com/) This site directs you to a local mirror first, look under image editors. This site also supports resumable downloads, so if you get cut off in the middle of a multi-megabyte download, you can pick up where you left off. You can also search ftp sites using ftp-search at http://ftpsearch.lycos.com/ , searching for psp501ev.zip. You may want to look for *psp501.*, as some sites rename files. Older versions of PSP may be found using this also - look for psp414*. See similar questions...