Hyperbolic Equations - EqWorld (original) (raw)
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Exact Solutions >Linear Partial Differential Equations > Second-Order Hyperbolic Partial Differential Equations
2. Linear Hyperbolic Equations
- w tt = a_2_w xx. Wave equation (linear wave equation).
- w tt = a_2_w xx + Φ(x, t). Nonhomogeneous wave equation.
- w tt = a_2_w xx − bw. Klein-Gordon equation.
- w tt = a_2_w xx − bw + Φ(x, t). Nonhomogeneous Klein-Gordon equation.
- w tt = _a_2(w rr + r_−1_w r) + Φ(r, t). Nonhomogeneous wave equation with axial symmetry.
- w tt = a_2(w rr+2_r_−1_w r) + Φ(r, t). Nonhomogeneous wave equation with central symmetry.
- w tt + k w t = a_2_w xx + bw. Telegraph equation.
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