Section 14.3 Partial Derivatives
Ex: 75
Verify that the function
\[u = e^{-\alpha^2 k^2 t}
\sin(kx)\]
is a solution of the heat conduction equation
\[u_t = \alpha^2 u_{xx}.\]
Verify that the function
\[u = e^{-\alpha^2 k^2 t}
\sin(kx)\]
is a solution of the heat conduction equation
\[u_t = \alpha^2 u_{xx}.\]