Diff eq question:

  • #1

Homework Statement


dy/dx = (6x^2)/((1+x^3)y)


Homework Equations





The Attempt at a Solution



it's a separable func. so after integrating, it looks like this (base on my calculation)

y^2 = 36ln(1+x^3)

so how do i find y? is it just sqrt(36ln(1+x^3))

thanks
 

Answers and Replies

  • #2
Dick
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36? Really? Could you check that again? Aside from that, sure, except y^2=A has two solutions. y=+sqrt(A) and y=-sqrt(A).
 
  • #3
36? Really? Could you check that again? Aside from that, sure, except y^2=A has two solutions. y=+sqrt(A) and y=-sqrt(A).

is the 36 supposed to be a 4?

brain fart... suddenly forgot how to do integration..
 
  • #4
Dick
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Well, I got 4. Doesn't mean it's correct. If you're not sure you'd better check again.
 
  • #5
epenguin
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I think it's 4 but also I think it's not going to matter too much when you get to the end. :wink:
 
  • #6
Thanks guys!

i'm pretty sure (lol) it's 4
 
  • #7
epenguin
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I suggest you also try writing it in the form x=
and also express both forms in terms of an initial condition e.g. xy=0 and/or yx=0.
 

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