# (10%) Problem7: Determine if the each of the followingforms of the function f(x,t) is a solution to

(10%) Problem7: Determine if the each of the followingforms of the function

*f(x,t)* is a solution to the waveequation

*d2f / dx2 = (1/c2)(d2f / dt2)*. (True or False) Part (a)

*f(x,t) = A ln(x – ct)* Part (b)

*f(x,t) = A [x2 –(ct)2]* Part (b)

*f(x,t) = A [x2 –(ct)2]* Part (d)

*f(x,t) = A sin(k1 x –ω1 t) + B cos(k2 x + ω2t + φ);ω1 / k1 = c; ω2 / k2 =c;* Part (e)

*f(x,t) = A sin(k1 x –ω1 t) cos(k2 x – ω2 t);ω1 / k1 = c; ω2 / k2 =c;* . . .