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Exact Solutions >Linear Partial Differential Equations > Second-Order Hyperbolic Partial Differential Equations

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2. Linear Hyperbolic Equations

  1. w tt = a_2_w xx. Wave equation (linear wave equation).
  2. w tt = a_2_w xx + Φ(x, t). Nonhomogeneous wave equation.
  3. w tt = a_2_w xxbw. Klein-Gordon equation.
  4. w tt = a_2_w xxbw + Φ(x, t). Nonhomogeneous Klein-Gordon equation.
  5. w tt = _a_2(w rr + r_−1_w r) + Φ(r, t). Nonhomogeneous wave equation with axial symmetry.
  6. w tt = a_2(w rr+2_r_−1_w r) + Φ(r, t). Nonhomogeneous wave equation with central symmetry.
  7. w tt + k w t = a_2_w xx + bw. Telegraph equation.

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