Consider the transport equation del$\frac{u}{d}$elt$+2$cdel$\frac{u}{d}$elx$-dde{l}^2\frac{u}{d}el{x}^2=0$ with initial

conditions $u(x,0)=$exp$(c\frac{x}{d})$ and boundary conditions $u(0,t)=$exp$(-c^2\frac{t}{d})$

and $u(1,t)=(\frac{d}{c})del\frac{u}{d}$elx$(1,t).$ Show that the equation is parabolic and determine

the solution.