# Calculus Question

**URL:** <https://forum.kirupa.com/t/calculus-question/88700>\
**Category:** random\
**Created:** [May 1, 2005, 11:05pm UTC](https://forum.kirupa.com/t/calculus-question/88700 "2005-05-01T23:05:19Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![NeoDreamer](https://avatars.discourse-cdn.com/v4/letter/n/ccd318/32.png) [@NeoDreamer](https://forum.kirupa.com/u/NeoDreamer)\
**Post date:** [May 1, 2005, 11:05pm UTC](https://forum.kirupa.com/t/calculus-question/88700/1 "2005-05-01T23:05:19Z")

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It’s 2 days before the AP Calculus test and I need a question answered:

You integrate a differential equation and get 2y = x + C. Does that equal y = .5x + C or y = .5x + .5C? My book says it’s the former because .5\*constant = another constant, but I believe it is the latter. Here’s why.

Say that they give you the point (1, 2) to solve for C:

2y = x + C  
2\*2 = 1 + C  
**3 = C**

Confirmation:

y = .5x + .5C  
2 = .5_1 + .5C  
2 - .5 = .5C  
1.5_2 = C  
**3 = C**

But using the books method:

y = .5x + C  
2 = .5\*1 + C  
**1.5 = C**
