Find the general solution of the differential equation: dy/dx = (-y/t) + 6. use lower case for constant in answer

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Step-by-Step-Solution: First, we need to convert the given DE into a Linear DE

$y' + (\frac{1}{t})y = 6$

Integrating Factor = $e^{\int \frac{1}{t}dt} = e^{ln(t)} = t$

Now we can write the general solution of the DE as:

$y.t = \int 6.tdt$

$y.t = 3t^2 + c$

Now, taking $t$ common from both sides,
we can write the general solution of the DE

$y = 3t + \frac{c}{t}$

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