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Chapter 2 / Textbook Chapter 2.5 Example 2
« on: February 21, 2022, 11:29:41 AM »
Hi Professor,
I think one coefficient is wrong in the solution.
In this problem the solution to the inhomogeneous equation with homogeneous initial condition should start with coefficient 12c=16. After cancelling the 36 in the f(x,t), we should arrive at 6∫t0∫x+3(t−t′)x−3(t−t′)1t2+1dx′dt′ instead of 3∫t0∫x+3(t−t′)x−3(t−t′)1t2+1dx′dt′.
Can you help me confirm if I missed something or the textbook has a typo?
I think one coefficient is wrong in the solution.
In this problem the solution to the inhomogeneous equation with homogeneous initial condition should start with coefficient 12c=16. After cancelling the 36 in the f(x,t), we should arrive at 6∫t0∫x+3(t−t′)x−3(t−t′)1t2+1dx′dt′ instead of 3∫t0∫x+3(t−t′)x−3(t−t′)1t2+1dx′dt′.
Can you help me confirm if I missed something or the textbook has a typo?