LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Solutions to the symmetric wave equation on a disk. The function wave1 takes in three parameters: f - The initial displacement, written as a function of x. v - The initial velocity, written as a function of x. m - The number of terms you want to the solution that you want to use. To keep from having too many inputs, the program assumes that c = 1, L = 1, and g = 1 (yes, acceleration due to gravity is just 1). JSFH 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 JSFH As an example (this is Example 1 from the book): 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 And to view the result: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEoYW5pbWF0ZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzY1LUkjbW9HRiQ2LVEifkYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiVRJXBsb3RGJ0YvRjItRjs2LVEiLEYnRj5GQC9GREYxRkVGR0ZJRktGTUZPL0ZTUSwwLjMzMzMzMzNlbUYnRjpGOi1GNjYmLUYjNiMtRjY2Ji1GIzYtLUYsNiVRInVGJ0YvRjJGV0Y6LUYsNiVRInhGJ0YvRjJGV0Y6RmJvLUY7Ni1RIj1GJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjc3Nzc3OGVtRicvRlNGaW8tSSNtbkdGJDYkUSIwRidGPi1GOzYtUSMuLkYnRj5GQEZDRkVGR0ZJRktGTS9GUFEsMC4yMjIyMjIyZW1GJ0ZSLUZccDYkUSIxRidGPkY+LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRj5GZ3BGanBGV0Y6LUYsNiVRInRGJ0YvRjJGZW9GW3BGX3BGOi1GXHA2JFEjMTBGJ0Y+RldGOi1GLDYlUSdmcmFtZXNGJ0YvRjJGZW8tRlxwNiRRJDEwMEYnRj5GPi1GOzYtUSI7RidGPkZARlpGRUZHRklGS0ZNRk9Gam8= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Your task? Graph two of the problems from the homework in 6.3 (your choice, and you don't need to do anything other than make the animation), and then come up with your own f and v. Remember that the chain is fixed when x = 1, so you really should have f(1) =0 and v(1) = 0. You should do this, but it is not required.