Hi,(adsbygoogle = window.adsbygoogle || []).push({});

If I have the equation

[tex] y' = ax - by [/tex]

where [tex] y = y(t) , x= x(t)[/tex]

and [tex] y' = \frac{dy}{dt} [/tex]

then what is

[tex] \frac {d}{dy} y' = \frac {d}{dy}(ax - by) [/tex]

?

I think it would come out to

[tex] \frac {dy'}{dy} = a \frac {dx}{dt}\frac {dt}{dy} - b [/tex]

Is that right? In general, is y' a function of y or would the first term on the left be 0?

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Quick chain rule q

**Physics Forums | Science Articles, Homework Help, Discussion**