What's the difference between Ti-89 and Ti-92 graphing calculators?

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The TI-89 (Titanium) graphing calculator is a compact version of the TI-92 Plus, designed to be more suitable for standardized tests due to its non-QWERTY keyboard layout. While both calculators share similar capabilities, the TI-89 is smaller and has slightly better specifications. The TI-92 Plus, being larger and bulkier, is often deemed less practical for students, especially those studying advanced mathematics like Nonlinear Ordinary Differential Equations. Battery life may also differ between the two models. Given these factors, the TI-89 Titanium is recommended for its portability and functionality, making it a better choice for students.
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What's the ultimate/huge difference between a Ti-89 (Titanium) and a Ti-92 Plus graphing calculators? Which graphing calculator is better for a student who studies advanced mathematics?
Currently, I own a Ti-89 (Titanium) graphing calculator but it doesn't seem to work, I've replaced new batteries and it still doesn't work because the screen is still blank after I pressed the 'On' button. I used this graphing calculator for more than 10 years and I think I should just buy/purchase a new one instead of fixing it, although I'm not sure if this can be fixed. My question is, should I get another (same) Ti-89 (Titanium) graphing calculator again or buy/purchase a Ti-92 plus graphing calculator? What's the ultimate/huge difference between these two graphing calculators? Which one is better and more suitable for a student like me who studies advanced mathematics? Right now, I study "Nonlinear Ordinary Differential Equations" and don't know if Ti-92 Plus will be a better choice for me. In terms of thinking/planning for the near future, should I get the Ti-92 Plus instead?
 
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Per wiki: https://en.wikipedia.org/wiki/TI-89_series

The TI-89 is essentially a TI-92 Plus with a limited keyboard and smaller screen. It was created partially in response to the fact that while calculators are allowed on many standardized tests, the TI-92 was not due to the QWERTY layout of its keyboard. Additionally, some people found the TI-92 unwieldy and overly large. The TI-89 is significantly smaller—about the same size as most other graphing calculators.

The TI-92 appears to be pretty large and not usable on many standardized tests. The TI-89 Titanium appears to have slightly better specs. Personally I'd stick with the TI-89 Titanium due to its smaller size, apparently equal capability, and slightly better specs.
 
The 92 is an 89 in a bigger box and with a alphabetic keyboard.
 
Thank you so much, guys! Now I know what I want!
 
One other thing to look at - batteries/battery life. May be different too.
 
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