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I'm a big soft teddy bear
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3,675 Posts
Discussion Starter #1
i have this take-home test. i'm looking for anyone who can facilitate my answering of this question in any way. i've been working on it for a really long time and haven't been able to solve it. here it is....

Solve the following the differential equation:

ydx + (3x + 4y)dy = 0


i tried re-arranging it to make it separable, but it does not separate properly.

i also tried re-arranging it to make it look like Bernoulli differential equation or something, but it doesn't work out.


if anyone can successfully solve this, you are my hero and i will be indebted to you forever.
 

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I'm a big soft teddy bear
Joined
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3,675 Posts
Discussion Starter #3
well, i figured it out for the most part.

the key is letting y=vx and therefore dy=xdv+vdx. then you make those substitutions, rearrange, and integrate. the thing that was tripping me up was you had to use partial fractions... bastards.

oh well, i got that one wrong. at least no one else in my class got it right...
 

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Premium Member
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16,148 Posts
If I had my notes from last year I'd be able to help you, but they're all the way back home, sorry.
 
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