Question

Find the general solution to the following differential equations. Leave your answer in implicit form.

Answer 1

$\bf 3-t\cfrac{dy}{dt}=8\implies 3-8=t\cfrac{dy}{dt}\implies \boxed{\cfrac{-5}{t}=\cfrac{dy}{dt}}\\\\ -----------------------------\\\\ n^2-\cfrac{ds}{dn}(6s-5)^{\frac{1}{3}}=0\implies n^2=\cfrac{ds}{dn}(6s-5)^{\frac{1}{3}}\implies \boxed{\cfrac{n^2}{(6s-5)^{\frac{1}{3}}}=\cfrac{ds}{dn}}$

nothing to it, is just a matter of solving for the derivative, which is already there