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Greger
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I am having trouble completely understanding what the question wants. I know it is quite clear but the part I am having trouble is the following.
It says 'pretend' w(x,t) is a solution to the 2D equation, just independent of y, then to substitute it into the integrate,
That means that u_t(x,y,0) = w_t(x,0) = ψ(x)
But I am trouble seeing how you can perform this integration without knowing what ψ(x) actually is as it would be,
∫∫ψ(x)/(stuff) dx dy over D.
But ψ(x) is unknown, so how can you integrate?
I am having trouble completely understanding what the question wants. I know it is quite clear but the part I am having trouble is the following.
It says 'pretend' w(x,t) is a solution to the 2D equation, just independent of y, then to substitute it into the integrate,
That means that u_t(x,y,0) = w_t(x,0) = ψ(x)
But I am trouble seeing how you can perform this integration without knowing what ψ(x) actually is as it would be,
∫∫ψ(x)/(stuff) dx dy over D.
But ψ(x) is unknown, so how can you integrate?
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