For the velocity field (vec{V}=A x^{2} y hat{i}+B x y^{2} hat{j}), where (A=2 mathrm{~m}^{-2} mathrm{~s}^{-1}) and (B=1

Question:

For the velocity field $\vec{V}=A x^{2} y \hat{i}+B x y^{2} \hat{j}$, where $A=2 \mathrm{~m}^{-2} \mathrm{~s}^{-1}$ and $B=1 \mathrm{~m}^{-2} \mathrm{~s}^{-1}$, and the coordinates are measured in meters, obtain an equation for the flow streamlines. Plot several streamlines in the first quadrant.