Applying boundary conditions on a multivariable function Watch

Calculator878
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How do I apply the boundary conditions on this integral to determine the constant?
A is the constant to be found.

There should be a plus 1 outside of the integral
i.e u = integral +1

I have an answer but don't understand it:

"u = 0 since as t tends to ot for fixed y, 'n' tends to ot"
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Gregorius
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(Original post by Calculator878)
How do I apply the boundary conditions on this integral to determine the constant?
A is the constant to be found.

There should be a plus 1 outside of the integral
i.e u = integral +1

I have an answer but don't understand it:

"u = 0 since as t tends to ot for fixed y, 'n' tends to ot"
I'm afraid it's not entirely clear what you're asking - do you mean u = A(1 + Integral)?

Anyway, the integral is a constant times the error function - and this is a function that has a sigmoid shape going from -1 at negative infinity to 1 at positive infinity. To look at u(\infty ,t), let y tend to infinity; to look at u(y ,0), let t tend to zero and see how the integral behaves in each case.
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