Use separation of variables to find solutions of a certain
second order PDE.
Transform a certain equation into standard form. Solve the
obtained standard PDE. Then use your transformation to obtain
the solution of the original PDE. What is the type of the
original PDE?
Find the general solution of the PDE bla=0 (note: bla is
of first order with variable coefficients, but the two
ODEs that you have to solve for the method of characteristics
are uncoupled). You don't need to check your answer.
Sketch the three characteristic curves that
pass through the points (1,0), (5,0), and (0.25,0).
Find the solutions of the problems bla=0, u(x,0)=blaa and
bla=x, u(x,0)=blaaa. Check your answers in both cases
(note: this bla is the same bla as the bla from the previous
problem. So you better make sure you have the previous problem
correct).