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GATE Mechanical 2021 Set 2 | Question: 13

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A two dimensional flow has velocities in $x$ and $y$ directions given by $u = 2xyt$ and $v = -y^{2}t$, where $\text{t}$ denotes time. The equation for streamline passing through $x=1,\:y=1$ is

  1. $x^{2}y=1$
  2. $xy^{2}=1$
  3. $x^{2}y^{2}=1$
  4. $x/y^{2}=1$
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