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The Head's latest activity
T
The Head
replied to the thread
PDE Characteristic Method?
.
Right, of course! Thank you.
Apr 3, 2021
T
The Head
reacted to
Orodruin's post
in the thread
PDE Characteristic Method?
with
Like
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No, but almost. Your function does not satisfy the initial condition.
Apr 3, 2021
T
The Head
reacted to
Orodruin's post
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PDE Characteristic Method?
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The expression $$ \frac{\partial u}{\partial t} = s^2 $$ can be directly integrated, ##s## is the other coordinate - not an unknown to...
Apr 2, 2021
T
The Head
replied to the thread
PDE Characteristic Method?
.
Ohh, OK gotcha. So it can just be s^2 * t = u(s,t)? Thanks so much for your reply.
Apr 2, 2021
T
The Head
replied to the thread
PDE Characteristic Method?
.
Also, I tried u=e^s => s=ln(u), so du/dt = (ln(u))^2, but that gives me an Ei function, so I feel like that can't be correct.
Apr 1, 2021
T
The Head
posted the thread
PDE Characteristic Method?
in
Calculus and Beyond Homework Help
.
dx/dt =1, x(0,s)=0, dy/dt=x, y(0,s) = s, du/dt=(y-1/2x^2)^2, u(0,s)=e^s I did well at the beginning to get x(t,s) =t and y(t,s)=1/2t^2...
Apr 1, 2021
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