the wave equation
δ^{2}y/δx^{2} = (1/c^{2})(δ^{2}y/δt^{2})
show y(x,t) = f(x-ct)+g(x+ct) is a solution explicitly
please show me how, don't just say "substitution"
the wave equation
δ^{2}y/δx^{2} = (1/c^{2})(δ^{2}y/δt^{2})
show y(x,t) = f(x-ct)+g(x+ct) is a solution explicitly
please show me how, don't just say "substitution"
Ahem...
Anyway, just in case a picture helps...
... where (key in spoiler) ...
Spoiler:
Compare bottom rows.
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Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!