The solution
 |
where 
is the Riemann function of the linear Goursat
problem with characteristics 
according to the Riemann
method.
Riemann Formula
See also
Goursat Problem, Riemann Function, Riemann MethodExplore with Wolfram|Alpha
References
Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet "Mathematical Encyclopaedia." Dordrecht, Netherlands: Reidel, p. 289, 1988.Referenced on Wolfram|Alpha
Riemann FormulaCite this as:
Weisstein, Eric W. "Riemann Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RiemannFormula.html