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Problem 10: Determine if the each of the following forms of the function f(x,t) is a solution to the wave equation a2f/a x2 = (1/c²) (a²f / ət²). Part (a) f(x,t) = A In(x – ct) TrueOrFalse : 1) 2) Part (b) f(x,t) = A [x² – (ct)²] TrueOrFalse : 1) 2) Part (c) f(x,t) = A [x – (ct)]3 TrueOrFalse : 1) 2)

Problem 10: Determine if the each of the following forms of the function f(x,t) is a solution to the wave equation a2f/a x2 = (1/c²) (a²f / ət²). Part (a) f(x,t) = A In(x – ct) TrueOrFalse : 1) 2) Part (b) f(x,t) = A [x² – (ct)²] TrueOrFalse : 1) 2) Part (c) f(x,t) = A [x – (ct)]3 TrueOrFalse : 1) 2)

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Problem 10: Determine if the each of the following forms of the function f(x,t) is a solution to the wave equation a2f/ə x² = (1/c²) (&²f / ət?). Part (a) f(x,t) = A In(x – ct) TrueOrFalse : 1) 2) Part (b) f(x,t) = A [x² – (ct)²] TrueOrFalse : 1) 2) Part (c) f(x,t) = A [x – (ct)]³ TrueOrFalse : 1) 2) Part (d) f(x,t) = A sin(k, x – wi t) + B cos(k2 x + Wzt + f); w1/k1 = c; w2/k2 = c; TrueOrFalse : 1) 2) Part (e) f(x,t) = A sin(k, x– Wi t) cos(k2 X - W2 t); W1/k1 = c; W2/k2 = c; TrueOrFalse : 1) 2)
Transcribed Image Text:Problem 10: Determine if the each of the following forms of the function f(x,t) is a solution to the wave equation a2f/ə x² = (1/c²) (&²f / ət?). Part (a) f(x,t) = A In(x – ct) TrueOrFalse : 1) 2) Part (b) f(x,t) = A [x² – (ct)²] TrueOrFalse : 1) 2) Part (c) f(x,t) = A [x – (ct)]³ TrueOrFalse : 1) 2) Part (d) f(x,t) = A sin(k, x – wi t) + B cos(k2 x + Wzt + f); w1/k1 = c; w2/k2 = c; TrueOrFalse : 1) 2) Part (e) f(x,t) = A sin(k, x– Wi t) cos(k2 X - W2 t); W1/k1 = c; W2/k2 = c; TrueOrFalse : 1) 2)
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