UsukiDoll
  • UsukiDoll
Describe the solutions of y' =3xy^1/3 again it uses separate variables. attachment coming
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Obviously you divide both sides by \(y^{1/3}\)
anonymous
  • anonymous
Integrate both sides with respect to \(x\) first. Then replace \(y'dx\) with \(dy\).
anonymous
  • anonymous
Don't do any of that multiply \(dx\)s and \(dy\)s around. I can't stand that crap.

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More answers

UsukiDoll
  • UsukiDoll
1 Attachment
UsukiDoll
  • UsukiDoll
blame the vintage book. seriously last minute prof change...but the prof isn't bad. It's just that the book is coo coo. I think reading it super hard is worth it
anonymous
  • anonymous
That's good. Then just solve for \(y\).
UsukiDoll
  • UsukiDoll
solve for y meaning... like divide everything by 3/2? or just multiply everything by the 3/2
abb0t
  • abb0t
Integrate both sides and solve for \(\sf \color{red}{y}\)!
abb0t
  • abb0t
Get the solution in the form y(x) = f(x) + C\(_1\) or something like that.
UsukiDoll
  • UsukiDoll
alright...I did integrate...just need to solve for the y since it has 3/2y^2/3-3/2x^2 =c
UsukiDoll
  • UsukiDoll
|dw:1378453716677:dw|
anonymous
  • anonymous
Well you can throw away the \(\frac 3 2\) easily enough.
abb0t
  • abb0t
I honestly have NO idea what you're doing right now.
UsukiDoll
  • UsukiDoll
|dw:1378453792079:dw|
anonymous
  • anonymous
Your score is so high @abb0t
anonymous
  • anonymous
Throw away the \(3/2\)
UsukiDoll
  • UsukiDoll
@abb0t look at the attachment that I just did earlier
abb0t
  • abb0t
@wio
UsukiDoll
  • UsukiDoll
crud new attafhment drawing ain't working
anonymous
  • anonymous
Latex it out man.
UsukiDoll
  • UsukiDoll
1 Attachment
UsukiDoll
  • UsukiDoll
@wio got it new attachment
anonymous
  • anonymous
Ok, looks ok.
anonymous
  • anonymous
\[ y = \sqrt{(x^2+C)^3} \]
anonymous
  • anonymous
You can simplify more if you like.
UsukiDoll
  • UsukiDoll
woo hoo. damn I must have confidence issues or something. x.x
UsukiDoll
  • UsukiDoll
because I've been reading it over and over and doing it on a wing and a prayer.
UsukiDoll
  • UsukiDoll
but thank goodness I'm on the right track to this.
abb0t
  • abb0t
Did not you learn this in Calculus \(\sf \color{purple}{II}\)?
UsukiDoll
  • UsukiDoll
Calc II was like 2011 :)
UsukiDoll
  • UsukiDoll
and yes I remember doing this with exponentials

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