Hi, this might be easy to explain, but I'd be glad for any help. The differential equation <span class="math"> y' = \frac {6x -4y +1}{3x -2y} [/spoiler] is non-linear. Why is that? I've looked at the definition, but didn't really get it.

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OP !!yzPI6QwWJCg Wed Jun 27 10:38:01 2012 No.4815598 [Reply] [Original]

Hi, this might be easy to explain, but I'd be glad for any help.

The differential equation

<span class="math"> y' = \frac {6x -4y +1}{3x -2y} [/spoiler]

is non-linear. Why is that? I've looked at the definition, but didn't really get it.

>>	Anonymous Wed Jun 27 10:45:32 2012 No.4815602 rewrite the equation to get something like f(x,y,y') = 0 where f is a function of three variables. If f is a linear function, then this is a linear diffequ.

>>	OP !!yzPI6QwWJCg Wed Jun 27 10:49:16 2012 No.4815606 >>4815602 Alright, thanks!

>>	Anonymous Wed Jun 27 10:50:30 2012 No.4815607 y'(3x-2y) = 6x-4y+1 y'3x - 2yy' = 6x-4y+1 problem is you have 2yy'

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