Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Partial Differential Equations Laplace Equation, Heat and Wave Equations
Let u(x, t) be the solution of the initial value problem utt - uxx = 0, and u(x, 0) = x2 & ut(x, 0) = cos x. then \(u(\frac{π}{2}, \frac{π}{2})\) is
1
4π2
2
\(\frac{π^2}{2}\)
3
\( \frac{1}{2}π^2+2\)
4
\( \frac{1}{2}π^3-2\)
5
Question Not Attempted