For the velocity field

$V(x,y)=\frac{Ax}{y^2}i+\frac{A}{y}j$

where $A=2\frac{m^2}{s},$

$($a$)$ Find the equation for the streamline that passes point $(x,y)=(3,1).$

$($b$)$ Find the time required for a fluid particle to move from $y=2m$ to $y=3m$ in

the flow field.

Hint: Use $v=\frac{\text{d}\text{e}\text{l}\text{y}}{\text{d}\text{e}\text{l}\text{t}}.$