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13 Nov 2019
partial differentiation equation
2· The scalar wave equation is given by Show by substitution (NOT separation of variables) that u = f(x-ct) + g(x + ct) is a general solution to this equation, where f and g are any possible functions whatsoever. (Hint: define y = x + ct, z = x-ct, and then use the chain rule for partial derivatives.) What do these two functions represent physically? (Hint: think about the direction of the wave.)
partial differentiation equation
2· The scalar wave equation is given by Show by substitution (NOT separation of variables) that u = f(x-ct) + g(x + ct) is a general solution to this equation, where f and g are any possible functions whatsoever. (Hint: define y = x + ct, z = x-ct, and then use the chain rule for partial derivatives.) What do these two functions represent physically? (Hint: think about the direction of the wave.)
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Jarrod RobelLv2
27 Aug 2019