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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