(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[itex]\frac{dy}{dx} = \frac{3x+2y}{3x+2y+2}[/itex]

2. The attempt at a solution

I thought I'd let u = 3x+2y+2, which would give me this,

[itex]u' = 5 - \frac{4}{u}[/itex]. This is seperable, and we thus get

[itex]\frac{1}{5}(3x + 2y +2) - \frac{4}{25}\ln|5(3x+2y+2)-4| = x + C[/itex]

Can someone check this? I've been differentiating this beast and I keep getting different coefficients. Is what I got here correct?

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# Homework Help: 1st order diff eq.

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