The two answers look very similar. Are they the same thing?

This equation looks like it separates, show us your working.

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- Mar 29th 2011, 09:04 PM #1

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- Aug 2009
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## dy/dx=x^2+y^(1/2), y(0)=1

http://www.wolframalpha.com/input/?i=dy%2Fdx%3Dx^2*%28y^%281%2F2%29%29%2Cy%280%29%3D 1&asynchronous=false&equal=Submit

Alright, so I have wolfram alpha out and am trying to figure this problem out. It's one I missed on my review.

The problem: dy/dx=x^2*y^(1/2)

My answer y=x^6/36+c^2, C=1

My review sheet's answer: 2*y*(1/2) = 1/3 * x^3 + 2.

I'm in the center of it quite confused and would like to see the problem worked step by step to the review sheet answer, and beyond if any of you are feeling really nice. Thanks!

- Mar 29th 2011, 09:15 PM #2

- Mar 29th 2011, 09:18 PM #3