Processing math: 100%

Linear	Separable
$y'+p(t)y=q(t) \tag{*}$	$y'=F(t) G(y) \tag{**}$

DE Poll

Work out your answer on paper or using appropriate software. Then put your answer intoWebex Poll, not chat.

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

linear and separable
linear but not separable
separable but not linear
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 (**)

File https://homepages.uc.edu/~brycwz/classes/2073/L2/DP22b.html revised 01/13/2021 18:12:47

Linear

Separable

DE Poll