(Solved): hi, i need the steps to solve, code and the plot Example Use the PDE toolbox to solve the hyperboli ...

Example Use the PDE toolbox to solve the hyperbolic partial differential equation in the form, $\frac{{?}^{2}u}{?t^2}?\left(\frac{{?}^{2}u}{?x^2}+\frac{{?}^{2}u}{?y^2}\right)=0$ for a $2\times 2$ unit square domain. The boundary conditions are $u=0$ on the left and right edges while $?u/?y=0$ on the top and bottom edges as shown in the figure. 362 Chapter 10 Partial Differential Equations The initial conditions are, $\begin{array}{rl}u(x,y,0)& ={\tan }^{?1}(\cos (?x/2))\\ ?u(x,y,0)/?t& =4\sin (?x)e^{\sin (?y/2)}\end{array}$