LO4 Review models of construction systems using ordinary differential equations
Assignment Brief and Guidance
TASK 1
The equation of catenary is given by the following second order differential equation
y ” = 5
x = 0, y = 100
x = 100, y = 100
Solve the above differential equation and plot the curve at 10m intervals.
Task 2
The differential equation governing the motion of a particle is given by the following differential
equation
y ”+ 5 y = 0
t = 0, y = 20
Solve the above and plot the results and determine the amplitude and frequency of the
oscillations
Task 3
A new series of tests is carried out and the equation modified to
y ”+ 2 y + 5 = 0
y = 20, t = 0
Use Laplace transforms or any other method to solve the new equations and plot the function and comment on the results
Assignment Brief and Guidance
Solve the above differential equation and determine the frequency and amplitude of the vibrations
