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# how to integrate this

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1. how would you go about integrating this? The problem i encounter is dealing with the 1
2. (Original post by Icyytea)

how would you go about integrating this? The problem i encounter is dealing with the 1
Where is this problem from? Are you comfortable with substitutions?
3. my friend asked me it a while back and yeah i'm semi comfortable but idk how to deal with it
4. (Original post by Icyytea)
my friend asked me it a while back and yeah i'm semi comfortable but idk how to deal with it
Could you post the rest of the question or the full question, please?
5. He told me I bet you can't integrate this then wrote it down on a piece of paper and handed it to me. Is it impossible to do with no further information given? It's not an official question he said he just came up with it when I asked him where it was from.
6. Just multiply out the 3y^2 to both sides, then split the LHS as all the y's and RHS as all the x's
7. Balancing?
8. (Original post by d3st1ny)
Just multiply out the 3y^2 to both sides, then split the LHS as all the y's and RHS as all the x's
But then you're left with 3y^2 dy = 2xdx + 3y^2 dx, how do you deal with the last term (3y^2dx)?
9. so 3y^2 (dy/dx) = 2x + 3y^2.

becomes... integral [3y^2] dy = integral [2x + 3y^2] dx

3y^3/3 = 2x^2/2 + 3xy^2

i think.
10. (Original post by d3st1ny)
so 3y^2 (dy/dx) = 2x + 3y^2.

becomes... integral [3y^2] dy = integral [2x + 3y^2] dx

3y^3/3 = 2x^2/2 + 3xy^2

i think.
nope, you can't integrate 3y^2 with respect to x, its a variable not a constant.
11. so it's impossible without other information such as y=...?
12. (Original post by Icyytea)
so it's impossible without other information such as y=...?
yes
http://www.wolframalpha.com/input/?i...3(y%5E2))+%2B1
13. (Original post by Icyytea)
so it's impossible without other information such as y=...?
It's not a proper question.
14. Alright thanks I thought I was missing something major lol
15. (Original post by Icyytea)

how would you go about integrating this? The problem i encounter is dealing with the 1
Zacken

It is a valid differential equation, that's known as Chini's equation. However, Zacken is correct that it cannot be solved analytically - though it can be approximately solved using numerical methods, so you may want to look up Euler's method for example.
16. looks like your friend won the bet
17. (Original post by Katiee224)
looks like your friend won the bet
What a cheat, though.
18. (Original post by Zacken)
What a cheat, though.
but this guy cheated by asking for help on a forum so nobodies perfect here
19. (Original post by Katiee224)
but this guy cheated by asking for help on a forum so nobodies perfect here
Fair enough!

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