Separation of Variables

Practice Questions

Partial Differential Equations › Separation of Variables

Questions

Solve for the general solution using separation of variables.

Given the following information:

$\u_t=u_{xx} \0\leq x\leq1 \t>0$

$\\text{Boundary Conditions: }\left{\begin{matrix} u_x(0,t)=0\ u_x(1,t)=0 \end{matrix}\right.$

$\text{Initial Conditions: }u(x,0)=cos(\pi x)$