## Solve the parabolic equation (6.24) with K =1, subject to the following boundary conditions: u(0,t)=0, u(1,t)=10, u(x,0)=0 for all x except x=1.

Solve the parabolic equation (6.24) with K =1, subject to the following boundary conditions: u(0,t)=0, u(1,t)=10, u(x,0)=0 for all x except x=1. When x=1, u(1,0)=10. Use the function heat to determine the solution for t =0 to 0.5 in steps of 0.01 with 20 divisions of x. You should plot the solution for ease of visualization. Solve the wave equation, (6.29) with c=1, subject to the following boundary and initial conditions: u(t,0) = u(t,1) = 0, u(0,x)= sin(πx) +2sin(2πx), and ut(0,x)= 0, where the subscript t denotes partial differentiation with respect to t. Use the function fwave to determine the solution for t =0 to 4.5 in steps of 0.05, and use 20 divisions of x. Plot your results and compare with a plot of the exact solution, which is given by u = sin (πx) cos (πt) + 2 sin (2πx) cos (2πt).

### ‘Public law has grown to meet the needs of justice on the one hand and of good government on the other by holding public administration to as much of its public undertakings – its policies – as is necessary and fair.’

‘Public law has grown to meet the needs of justice on the one hand and of good government on the other by holding public administration to as much of its….

### Assess why it has proven so difficult to design an operating procedure which allows the European Court to effectively manage its case load.

‘The results so far achieved within the framework of Protocol No. 14 are encouraging, particularly as a result of the measures taken by the Court to increase efficiency and address….

### Evaluate whether the operation of human rights under the ECHR really does force public authorities to ‘act in ways that fly in the face of common sense’?

‘[I]n this country we are proud to stand up for human rights, at home and abroad. It is part of the British tradition. But what is alien to our tradition….