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hey today we have to talk about the wave equation as a reminder hereamp;#39;s how what the wave equation looks like a squared times the second partial of U with respect to X hereamp;#39;s where it changes from the heat equation is equal to the second partial of U with respect to T with the heat equation is just the first partial of U with respect to T remember that we are gonna say X is between 0 and L and T is gonna be positive our two boundary conditions are that our that U of 0 T is equal to 0 and U of L T is equal to 0 and then we have two initial conditions not just one the first one is U of X comma 0 equals f of X and then the second one is the first partial of U with respect to T at T equals 0 is equal to G of X so before we actually solve this I want to make sure we know what all of this means we are looking for the solution U of X T what is U of X T represent vertical displacement right from the x-axis to the string at some point in time and some spatial dimension what it wh
