Teaching JKPSC Lecturership Mock Test Series 2024-25 Engineering Mathematics Differential Equations Partial Differential Equations
Which of the following equations represents a one-dimensional wave equation?
1
\(\frac{{\partial u}}{{\partial t}} = {C^2}\frac{{{\partial ^2}u}}{{\partial {x^2}}}\)
2
\(\frac{{{\partial ^2}u}}{{\partial {t^2}}} = {C^2}\frac{{{\partial ^2}u}}{{\partial {x^2}}}\)
3
\(\frac{{{\partial ^2}u}}{{\partial {t^2}}} = {C^2}\frac{{\partial u}}{{\partial x}}\)
4
\(\frac{{{\partial ^2}u}}{{\partial {t^2}}} + \frac{{{\partial ^2}u}}{{\partial {x^2}}} = 0\)