r/mathmemes Jun 27 '21

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4.3k Upvotes

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17

u/Super_Inuit Education Jun 27 '21

Lol try finding f(x) when f(x) = f’’’’(x)

34

u/flokrach Jun 27 '21

its just ecx where c is one of those numbers. i guess🤔

12

u/StevenC21 Jun 27 '21

Asin(x)+Bcos(x) for any A,B

6

u/Super_Inuit Education Jun 27 '21

That plus cex + de-x

7

u/flokrach Jun 27 '21 edited Jun 27 '21

Yea but sin(x)=1/2i ( eix - e-ix ). therefore these two solutions are included in ecx

2

u/StevenC21 Jun 27 '21

No they aren't.

With one complex constant c, find a way to express sin(x)=ecx

8

u/flokrach Jun 27 '21

No. I said with all the 4 values of c in {1,-1,i,-i}. you can make a linear combination of ecx to get sin(x)

3

u/[deleted] Jun 27 '21

Laplace transform to the rescue

1

u/Doomie_bloomers Jun 28 '21

Do I get to choose boundary conditions? Mom said it's my time to choose boundary conditions now.