Toronto Math Forum
APM3462015F => APM346Home Assignments => HA7 => Topic started by: Victor Ivrii on November 01, 2015, 05:10:06 PM

Problem 4
http://www.math.toronto.edu/courses/apm346h1/20159/PDEtextbook/Chapter5/S5.2.P.html#problem5.2.P.4 (http://www.math.toronto.edu/courses/apm346h1/20159/PDEtextbook/Chapter5/S5.2.P.html#problem5.2.P.4)

Solution for a(i) is attached. Please correct me if I am wrong.

a(ii)

Whole solution for part b is attached.

Solution for a(i) is attached. Please correct me if I am wrong.
Maybe the transform for $e^{\frac{ax^2}{2}}$ should be $\sqrt{\frac{2\pi}{a}}e^{\frac{k^2}{2a}}$ instead of $\sqrt{\frac{2\pi}{a}}e^{\frac{ak^2}{2}}$?

Maybe the transform for $e^{\frac{ax^2}{2}}$ should be $\sqrt{\frac{2\pi}{a}}e^{\frac{k^2}{2a}}$ instead of $\sqrt{\frac{2\pi}{a}}e^{\frac{ak^2}{2}}$?
Indeed

I think I am also wrong for part d. But general formula is right, just do derivative to get final answer. ;)