DE Poll

Equation $t^2y'= y+2t$ is

1. linear and separable
2. linear but not separable
3. separable but not linear
4. None of the above

  The answer is B.                   One more?
 
Solution
  Equation is linear: subtract $y$ from both sides and divide by $t^2$ to get $y'-\frac1{t^2} y=\frac{2}{t}$ with $p(t)=-\frac1{t^2}$ and $q(t)=\frac{2}{t}$
 

   Equation is not separable because even your professor does not see how to rewrite it as a product (**)