Toronto Math Forum
APM346-2015S => APM346--Home Assignments => HA10 => Topic started by: Victor Ivrii on March 26, 2015, 03:10:41 PM
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Consider distributions now. Calculate right from the definition
a. $x^3\delta''(x)$;
b. $x^2\delta''(x)$;
c. $x^2\delta '''(x)$.
The results may be written through $\delta$-function or its derivatives of the smallest possible order.
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My answer
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Different answers. :-\
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Mark is completely correct. Chaojie gave a correct answer to b, correct but unfinished to a (he got $2x\delta$ but this is just $0$—see Mark's solution)