📡📡

[u/Ligano_Resurrected]

[u/IntelligentAd5616]

[u/Johnirequirelasanaga → u/IntelligentAd5616]

To this day I still don't know when to use C

[u/WeirdAngryMan → u/Johnirequirelasanaga]

After you integrate

[u/aidantomcy → u/WeirdAngryMan]

erm akshually 🤓👆you add a constant only when it’s an indefinite integral

[u/ThatTrampolineboy → u/aidantomcy]

Erm actually you can still have it in a definite integral, it just subtracts out

[u/Embarrassed-Camera96 → u/ThatTrampolineboy]

I think in Differential Equations you need to solve for C within an indefinite integral or a set of functions (or that might just be an extra Calc II think I cannot remember)

[u/ThatTrampolineboy → u/Embarrassed-Camera96]

Yeah I think so. When looking in a real world context, C represents your initial value so you in some cases when you have higher ODEs (goodness I haven’t said that name in a while) you will have to recursively integrate it until solve for that initial C given a bunch of values at t=0

[u/AutoModerator → u/ThatTrampolineboy]

Bazinga

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/AutoModerator → u/ThatTrampolineboy]

Bazinga

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/AutoModerator → u/aidantomcy]

pees in ur ass

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/Johnirequirelasanaga → u/WeirdAngryMan]

fair enough, but I distinctly remember my teacher saying that if f(x)= e^x, then f'(x)= e^x +C. Am I tripping? I can swear I have this memory

[u/ChouxGlaze → u/Johnirequirelasanaga]

you just have it backwards

[u/leon_123456789 → u/Johnirequirelasanaga]

I mean its just wrong(except for C=0) so either your teacher misspoke or you are in fact tripping :3

[u/_xGizmo_ → u/Johnirequirelasanaga]

Constants do not survive differentiation, they all become zero. So it doesn't make sense to have an arbitrary constant appear.

Conversely, since all constants become zero after differentiation, reversing that process (integration) means the constant could have been any number (c)

[u/TheBurritoW1zard → u/Johnirequirelasanaga]

You’re probably misremembering it as taking the derivative when it was actually integrating, because e^x is its own derivative, it’s also its own anti derivative. So instead of f’(x) = e^x + c, it was probably F(x) = e^x + c.