the integration factor i mentioned earlier, e^(int of P(x) dx), is then multiplied on both sides of the differential equation we reformatted to match the standard form.

in this case it would be x^2 times dy/dx + x^2 times 2y/x = x^2 times x (we have multiplied x^2 to every term), which simplifies into x^2 dy/dx + 2xy = x^3

from there we find what the left side would be the derivative of:

d/dx of yx^2 would be the left side, since it would become x^2 + 2xy (use the concepts of chain, product rule)

so it becomes d(yx^2)/dx = x^3, and integrating both sides becomes

yx^2 = x^4/4 + C, simplifying into y = x^2/4 + C/x^2

plug in initial values, and there you go

why is your instructor trying to make you solve something you haven't learned?

so this is a first order linear diff. equation.

dy/dx + P(x)y = Q(x) is called the standard form in this case, so we will try to reformat the initial equation so we can get P(x) and Q(x), which will be used later on in the process.

I'm assuming he was given initial conditions and he's tryna find the specific solution under the general +C format, bc he's verifying whether it passes a point

the second line (dy/dx + 2y/x = x) is a rearranged format of dy/dx = x - 2y/x to match the first line (dy/dx + P(x)y = Q(x))

dy/dx + P(x)y = Q(x)

dy/dx + 2y/x = x

P(x) = 2/x and Q(x) = x

btw integrating factor is e^(int of P(x) dx)

I expect you to solve it from here

what do you need help with

its the thought that counts, right?

at least you're a real one for buying the jersey beforehand

bro wtf i know jerseys are expensive but does 100T really charge that much

its experiencing a plateau, it would be great if it can retain some longevity like CS, Minecraft, Fortnite (to some extent), etc...

been supporting since MVP PK here! sad to see them all gone though...

i swear being a drx fan is one of the most painful (masochistic) experiences ever

one of us
one of us
one of us

what is up with necroing nowadays

i can't even get mad because he's shitting on everyone equally

the true opps are the fuming antis in the replies

shit bro ur right

interesting list, truly the list of all time

TE have always been consistently good (consistent since CN evolution stages) and have shown good results domestically, they just get pretty unlucky and tbh should've qual'd over DRG for Shanghai

pretty sure that smoke was a post-plant 2v2 smoke, where FPX had a cross between link and main which also explain the spike plant location.

in theory it was a good idea, I don't get why you're hard baiting

prayge

xd

despite not liking sentinelmain377s posts i think NAVI > TL
you might be deluded in recency bias my friend

look at their retakes and execs (+ antis but you won't find too many) and you will see that sen has a much cleaner gameplan in Madrid than current SEN.

how so? please state your facts instead of making baseless claims.

he's basically saying get off vlr

the amount of downvotes are insane, you cooked my dude

bump

bro really got corrupted

shit bro there were so many valid arguments you could've made to this rage-baiter and age is the argument you chose?

bro what did we ever do lol

its fine, its VLR

no need to be sorry

I thought so too haha

thats my point lol

this!

if sen won champs and gen were runner ups?

in terms of consistency, GEN
in terms of achievement, SEN

depends on how you look at the game
in Madrid, GEN had a higher level of play than SEN but SEN had more heroics during GF
in Shanghai, no comparison bc SEN did not qual
in Champs, we shall see!

Boo allegedly had say in recruiting MiniBoo since they are brothers

dude thinks that's nepotism

it stops becoming nepotism and instead a legitimate recruiting when the players involved meet/exceed expectations

his initial comment was very biased and was questionable but, "He played 1 good match against a mediocre team. I am not willing to say he’s good or bad and I’m not impressed yet." is a valid statement and atp you're just looking for a reason to chain hate comments ngl

why tf is this pinpoint accurate of a description

Overcoming the 5 Stages of Grief as a Team Secret fan can be difficult.

Stage 1: Denial
Grief is an overwhelming emotion. It’s not unusual to respond to the strong and often sudden feelings by pretending the loss or change isn’t happening.

Denying it gives you time to more gradually absorb the news and begin to process it. This is a common defense mechanism and helps numb you to the intensity of the situation.

As you move out of the denial stage, however, the emotions you’ve been hiding will begin to rise. You’ll be confronted with a lot of sorrow you’ve denied. That is also part of the journey of grief, but it can be difficult.

Examples of the denial stage

• Breakup or divorce: “They’re just upset. This will be over tomorrow.”
• Job loss: “They were mistaken. They’ll call tomorrow to say they need me.”
• Death of a loved one: “She’s not gone. She’ll come around the corner any second.”
• Terminal illness diagnosis: “This isn’t happening to me. The results are wrong.”
• Team Secret threw another important game: "Title. RIP APAC. pls ban primmie for hacking..."

i see a lot of your posts, and most of them is what you hate about the scene, and your posts revolve and operate around these overly critical points you're making, which makes it hard for other people to relate

i see, but I do feel like antagonizing the scene a lot and operating what you're saying from what you hate exclusively actually draws more people to hate your takes, even though what you are saying does have some actuality to it

I agree with everything you just said, but I never said that they don't contribute much? If anything, I implied the opposite lol

let the man cook, hes bored anyways

i was termi believer until 2021

its funny how you're summarizing/narrating every round
but I appreciate it haha

you're not wrong. VCJ has a higher level of competition than VCL KR because of this as well. players like akame, jinboong, gwangboong, only1, allow, gangpin, bangnan, esperanza, wolverine, lob, kobra, etc... are just a few on the top of my head that I can think of.

at the same time, the F/A situation in Korea is tough, since a lot of t1 teams in KR made very late decisions that screwed over many players (such as k1ng), which has lead to either

a) exporting to other CL leagues like VCJ
b) F/A and trialing/scrimming
c) retiring

i hope so, edg is a pretty cool team

maybe so, if you're starting with "You got a problem with it?"

it sounds a bit condescending, and not to mention "if your orgs are a little bit more competent...tank your problem"

then fucking don't. if it's a KR scene issue why're you guys pulling KR talent to VCJ then ranting about it in half of your posts? shit doesn't add up. its also not an accounting issue (at least primarily), so idk what you are on about

I agree with this, VCJ has given a lot of opportunities as of recent

ikr this logic makes 0 sense

all of a sudden N4RRATE is claimed by EU now that KC is investing their resources in him!

jesus christ dude why're you pressed