Hello, this is the first time I post here, I'm really stumped and tried everything, even my TI-89 calculator won't give me something nice XD(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find the general solution of

dy/dt= 1/(ty+t+y+1)

2. Relevant equations

No relevant equations.

3. The attempt at a solution

The first step I did was,

(ty+t+y+1)dy = 1dt

by cross multiplying proportions.

I can't figure out anyway to seperate my terms to the proper places...I then tried this:

integral( ty+t+y+1 dy ) = integral( 1dt )

and resulted in:

ty^2/2 + ty + y^/2 + y + c = t

But this leads me nowhere...Any ideas? Or should I come into conclusion that this differential equation is not valid and unable to do?

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# Differential Equations: Finding the General Solution

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