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$$\frac{dy}{dx} = \frac{y+t}{t}$$

I've tried substituting $$ v = y+t $$

$$ y = v - t $$

$$ \frac{dy}{dx} = \frac{dv}{dt} - 1 $$

$$\frac{dv}{dt}-1 = \frac{v}{t}$$

That would be simple enough, but the -1 is throwing me off.

$$\frac{dv}{v}-\frac{1}{v} = \frac{dt}{t}$$

Definitely something wrong there...

Please show me the error in my ways?

Thanks much,

Mac