/sci/ - Science & Math

>>11346903
>is this an error in print
No. The analytical solution to [math] y'-y=x [/math] is [math] y=ke^x-x-1 [/math] where [math] k [/math] is an arbitrary constant that is determined by whatever your initial condition is. The initial condition can be anything. If [math] y(0)=1 [/math] then [math] k=2 [/math]. So the function you are approximating by Euler's method is actually [math] y=2e^x-x-1 [/math]. Of course, you don't actually need to know this to use Euler, but it helps if you are trying to double-check your work. (The exponential part of y is called the homogeneous portion of the solution, and the rest is called the particular part of the solution, for what it's worth.)
>>11346865
I love you too and yw~ and all that, but
>making me cry unironically
Get a grip, anon.

>>11346903
>is this an error in print
No. The analytical solution to [math] y'-y=x [/math] is [math] y=ke^x-x-1 [/math] where [math] k [/math] is an arbitrary constant that is determined by whatever your initial condition is. The initial condition can be anything. If [math] y(0)=1 [/math] then [math] k=2 [/math]. So the function you are approximating by Euler
s method is actually [math] y=2e^x-x-1 [/math]. (The exponential part of y is called the homogeneous portion of the solution, and the rest is called the particular part of the solution, for what it's worth.) Of course, you don't actually need to know this to use Euler, but it helps if you are trying to double-check your work.
>>11346865
I love you too and yw~ and all that, but
>making me cry unironically
Get a grip, anon.

>>11029066
>nietszche
>nihilist

>52 bumps later
yikes. remember to report off topic.

>flywheel
>it only spins

>dampeners
>they are completely dry

>hydraulics
>no water involved, just oil

>green sand casting
>its just regular colored sand

Eh, i tried

anime was a mistake

>ruining a perfectly good cock

We already have a thread for this exact bullshit

>there are "people" out there who think time or space is discrete

>>9946075
>it's an OP learns something about genetics/zoology/some specific life science and then carelessly applies it to all other fields episode

Schizos pls leave

>>9888029
Dont do this to me, anon

>>9857001
>>>/trash/
>>>/hell/
Also check these dubs