Problem $1.(10$ painta$)$

A frist order linear eouvion in the form $y^{\text{'}}P(x)y=f(x)$ can be ablued by finding an interpraing factor $P(x)=$exp$({\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}P(x)dx)$

$($i$)$ Creas bede devation $3y^7{b}_y=15$ ind $p(x)=$

$(2)$ Then find an eaplicit general solution with arbitrary canstant $C.$

$y=$

$(3)$ Thes solve the initial value problem with $y(0)=3$

$y=y$