$\beta_1: \left\langle Q \ {=} \ 0 \right\rangle$
$T_1 \ {=} \ \Gamma_0 \mid \beta_1$
$$T_1: y ^{\prime} + P y {=} 0$$
$\mathbf{use}$
$y ^{\prime} + P y \ {=} \ 0 \Rightarrow y \ {=} \ {\color{Peach} C e ^{- I_1}}$
$\mathbf{def}\quad \displaystyle I_1 {=} \int \text{d} {\color{Peach} x} \left\{ {\color{Peach} P} \right\}$
$\mathbf{def}\quad C$
$$y \ {=} \ {\color{Peach} C e ^{- I_1}}$$