Partial Differential Equations
Partial Differential Equations
1
Next week
Tuesday: guest lecture (Prof. Keenan Crane) Thursday: in-class test
2
Recap
ODEs: implicitly define a function through its time derivative
q
q0
q(t) vq,t
time
3
Recap
What does an ODE for exponential decay look like?
? It could be a very crude model for how the
temperature of a particle changes through time...
? But where does the heat go?
It's a PDE!
4
Partial Differential Equations
PDEs: implicitly define a function through its derivatives with respect to time and space
Most physical phenomena and processes can be described by partial differential equations
5
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