Show which of the following functional forms work or do not work as solutions to this differential equation (known as 'the wave equation'). cheek the possible solution listed below and show mathematically how you know the solution works or not. e(x, t) = a cos(bt) e(x, t) =a cos(bt + c) e(x, t) = ax^2t^2 e(x, t) = a cos (bx + ct) e(x, t) = a cos(bx + ct + d) for the ones that will work as a solution, figure out what constraints, if any, there are on the values for the constants a, b, c, and d. note that when taking a partial derivative with respect to x or t, you only differentiate with respect to the one variable, ignoring the other as if it is a constant.
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Show which of the following functional forms work or do not work as solutions to this differential e...
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