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

Solve the following DE:

(6x[tex]^{4}+x^{3}[/tex]+10x[tex]^{2}[/tex]+2x-4)yy' = (y[tex]^{2}[/tex]+y+2)(12x[tex]^{4}[/tex]+2x[tex]^{3}[/tex]+20x[tex]^{2}[/tex]+6x-7)

2. Relevant equations

All we really know technique wise is seperation of variables then integrate. Basically this is the first week of DE class.

3. The attempt at a solution

I divided both sides by the left parantheses part and did division. Put the y's on the left and I am stuck at integration.

[tex]\int\frac{y}{y^2+y+2}[/tex]dy =2[tex]\int\frac{2x+1}{6x^4+x^3+10x^2+2x-4}[/tex]dx

There is where I left off. I am having difficulty with both integrals, if they are even possible. Did I miss something in an early step? Not sure where to proceed or if I am heading in the right direction. Help would be great.

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# Homework Help: Help solving a first order DE

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