Teaching CSIR NET Mock Test Series Engineering Mathematics Differential Equations Partial Differential Equations
The solution at x = 1, t = 1 of the partial differential equation, \(\frac{{{\partial }^{2}}u}{\partial {{x}^{2}}}=25\frac{{{\partial }^{2}}u}{d{{t}^{2}}}\) subject to initial condition of \(u\left( 0 \right)=3x,\frac{\partial u}{\partial t}\left( 0 \right)=3\) is _____.
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