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Linear Heat Equations

1. w t = aw xx. Heat equation.
2. w t = aw xx + Φ(x, t). Heat equation with a source.
3. w t = aw xx + bw x + cw + Φ(x, t). Convective heat equation with a source.
4. w t = a(w rr + r_−1_w r). Heat equation with axial symmetry.
5. w t = a(w rr + r_−1_w r) + Φ(r, t). Heat equation with axial symmetry (with a source).
6. w t = a(w rr + 2_r_−1_w_ r). Heat equation with central symmetry.
7. w t = a(w rr + 2_r_−1_w_ r) + Φ(r, t). Heat equation with central symmetry (with a source).

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