Eight differential equations and four phase lines are given below. Determine the equation that corresponds to each phase line and state bnefly how you know your choice is correct.

$(1)\frac{dy}{dt}=ycos(\frac{}{2}y)$

$($ii$)\frac{dy}{dt}=y-y^2$

$($iii$)\frac{dy}{dt}=|y|sin(\frac{}{2}y)$

$($iv$)\frac{dy}{dt}=y^3-y^2$

$($v$)\frac{dy}{dt}=cos(\frac{}{2}y)$

$($vi$)\frac{dy}{dt}=y^2-y$

$($vii$)\frac{dy}{dt}=ysin(\frac{}{2}y)$

$($viii$)\frac{dy}{dt}=y^2-y^3$

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