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Champions of Equestria

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Description

“Doodled this during calc class today,
 
Twilight is sort of my self conscious.”

safe2272110 artist:wirelesspony101 twilight sparkle371907 pony1705031 g42130867 calculus59 exam59 female1914147 frown38573 gritted teeth20745 math1005 messy mane11609 notes128 prone38316 solo1509039 studying358 traditional art149356 twilight snapple2413 unamused25588 wide eyes20448

Comments

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Detailed syntax guide

Scp-3125
Lunar Supporter - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
My Little Pony - 1992 Edition
Wallet After Summer Sale -

Memetic eldritch horror
I know how that feels, my math teacher always springs the major tests on us with only two days at most to study
Moonlight Requiem

Empress of Excess
If I could draw, I would do this too. All over my schoolwork.
 
PS. I sign up for artistry websites to appreciate others’ work. I personally can’t draw to save my life.
SpaceCowboy

If you have zero i.c.‘s it would be easier to use Laplace Transforms to solve linear ODEs rather that using the integrating factor, especially if you have a weird forcing function. Ok now that I did your math Twilight, let’s fuck.
mathprofbrony
Nightmare in the Moon - Had their OC in the 2024 Derpibooru Collab.
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Roseluck - Had their OC in the 2023 Derpibooru Collab.
Elements of Harmony - Had an OC in the 2022 Community Collab
Twinkling Balloon - Took part in the 2021 community collab.
Friendship, Art, and Magic (2020) - Took part in the 2020 Community Collab
Wallet After Summer Sale -
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Birthday Cake - Celebrated MLP's 7th birthday
The End wasn't The End - Found a new home after the great exodus of 2012

Filly’s work?!? I see trigonometric substitution, is that a complex number down there on the right…
 
…by the way, the boxed equation on the bottom right is e^( ((ln x) - 1)2 ), which isn’t the same thing as e(ln x) e ^ (ln x). It’s
 
e^( ((ln x) - 1)2 ) * (1/x)  
= ( e
((ln x) - 1) )(ln x -1) * (1/x)  
= (x/e)
(ln x - 1) * (1/x)  
= x^(ln x - 2) * e^(1 - ln x)  
= x^(ln x - 2) * (e/x)  
= e x^(ln x - 3)
 
Unless this is parts of several problems.
 
Whether this is a math test or a physics test, Twilight’s got a tough exam on her hands. Good luck! :^)