Recent questions tagged partial-differential-equations

Consider the following wave equation,$$\frac{\partial^{2}f(x, t)}{\partial t^{2}} = 10000 \frac{\partial^{2}f(x, t)}{\partial x^{2}} $$Which of the given options is/are s...

If $z= xy \text{ ln} (xy)$, then$x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}= 0 \\$$y\frac{\partial z}{\partial x}= x\frac{\partial z}{\partial y} \\$$x...

Let $f\left ( x,y \right )=\dfrac{ax^{2}+by^{2}}{xy},$ where $a$ and $b$ are constants. If $\dfrac{\partial f}{\partial x}=\dfrac{\partial f}{\partial y}$ at $x = 1$ and ...