Operators and change of basis
Diagonalization
Solution by diagonalization
Solving a 4D linear system with Maple (day7.mws)
Complex eigenvalues (day7b.mws)
HW#3 due Wed, 9/23 p54: 1(d) p55: 6, 7 p60: 3 p65: 1 p69: the unnumbered problem
Solving a 5D linear system with nonreal eigenvalues (day8.mws)
Undamped harmonic oscillator forced sinusoidally at natural frequency: day11a.mws
Undamped harmonic oscillator forced sinusoidally away from natural frequency: day11b.mws
Method of flexible guess for resonance problem: day11c.mws
Resonances of a building: day11d.mws
Another example of solving a linear system: another_example.mws
In both cases the first Picard approximation was taken to be
the constant function 1.
[source code]
The workings of the E/U theorem proof in the problem x'=x^2:
day18.mws
Here are some 30 Picard iterates for two ODE IVPs.
The first is y'=-y, y(0)=1. The second is y'=sin(y), y(0)=1.
