[944] Typo in question 4(b).

Gautam Iyer gi1242+944 at cmu.edu
Mon Nov 27 21:54:15 EST 2017


Hi Guys,

There is a typo in Q4(b): I wrote

    v(t, y) = e^{\gamma_1 t} c(T - t, y + \gamma_2 (T-t))

This is incorrect. It should instead be

    v(t, y) = e^{\gamma_1 t} c(T - t, x e^{\gamma_2 (T-t)} )

Since this was leading to some confusion, I realized that the question
can be stated (and solved) in a simpler way using a conventional
substitution. Namely define new variables

    tau = T - t	    and z = y + gamma_2 tau

and choose gamma_1 and gamma_2 appropriately to get the heat equation
for v (in variables tau and z).

I updated the homework to reflect this.

Best,

Gautam

-- 
Linux *is* user-friendly. It's just not ignoramus-friendly or
idiot-friendly.


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