Question
The streamlines of a fluid flow are given by the first order differential equation$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{y+1}{x+1}(y>-1$ and $x>-1)$Show that $y=A x+A-1$ where $A$ is a constant.
Step 1
We have $\frac{dy}{dx} = \frac{y+1}{x+1}$. To separate the variables, we can rewrite this as: $(y+1) dy = (x+1) dx$ Show more…
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