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Show by differentiation and substitution that any function of the form y = f1x { vt2

Chapter 14, Problem 70

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QUESTION:

Show by differentiation and substitution that any function of the form y = f1x { vt2 satisfies the wave equation (Equation 14.5).

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QUESTION:

Show by differentiation and substitution that any function of the form y = f1x { vt2 satisfies the wave equation (Equation 14.5).

ANSWER:

Step 1 of 2

Consider the function,

                                                

Differentiate this function partially with respect to,

                                             

Again differentiate this with respect to ,

                                             

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