Q$\mathrm{.}2.$ A velocity field is given as vec$(V)=(ay,-ax+$abt,$0).$

a$.)$ Find the streamline equation for this flow field.

b$.)$ Plot at least $3-$streamlines for $a=1$ and $b=1.$

c$.)$ Indicate the direction of the streamline at point $(2,3)$ in the first quadrant.