For a steady, incompressible two-dimensional flow, represented in Cartesian co-ordinates $(x, y),$ a student correctly writes the equation of pathline of any arbitrary particle as, $\frac{d x}{d t}=a x$ and $\frac{d y}{d t}=b y$, where $a$ and bare constants having unit of (second) $^{-1}$. If value of $a$ is $5,$ the value of $b$ is_____________

Question ID - 155905 | Toppr Answer

For a steady, incompressible two-dimensional flow, represented in Cartesian co-ordinates $(x, y),$ a student correctly writes the equation of pathline of any arbitrary particle as, $\frac{d x}{d t}=a x$ and $\frac{d y}{d t}=b y$, where $a$ and bare constants having unit of (second) $^{-1}$. If value of $a$ is $5,$ the value of $b$ is_____________