\magnification 2200
\parindent 0pt
\parskip 10pt
\pageno=1
\hsize 7truein
\vsize 9.2truein
\def\u{\vskip -10pt}
\def\v{\vskip -6pt}

Thm 2.4.1:

If $p$ and $g$ are continuous on an open interval $I = \{t ~|~ a < t < b\}$ containing the 
point $t_0$, then there exists a unique function $y = \phi(t)$ that satisfies the following 
initial value problem:  $$y' + p(t)y = g(t), ~t \in I$$, $$y(t_0) = y_0.$$


2.4 \#27b.  Solve Bernoulli's equation, $$y' + p(t)y = g(t)y^n,$$ when $n > 1$ by changing it 
to a linear equation ny 
substituting $v = y^{n-1}$

Solve 

$$ty' + 2t^{-2}y = g(t)y^5,$$


\end