A velocity field is given by (vec{V}=a x^{3} hat{i}+b x y^{3} hat{j}), where (a=1 mathrm{~m}^{-2} mathrm{~s}^{-1}) and

Question:

A velocity field is given by $\vec{V}=a x^{3} \hat{i}+b x y^{3} \hat{j}$, where $a=1 \mathrm{~m}^{-2} \mathrm{~s}^{-1}$ and $b=1 \mathrm{~m}^{-3} \mathrm{~s}^{-1}$. Find the equation of the streamlines. Plot several streamlines in the first quadrant.