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Integral Equations in Visual Computing Summer term 2008 Dr. Bernhard Burgeth

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Integral Equations in Visual Computing

Summer term 2008 Dr. Bernhard Burgeth

Saarland University Faculty of Mathematics and Computer Science

Assignment H4

Deadline for submission:

Thursday , June 12th, 10:00, at the beginning of the lecture

Problem 1: (4 points)

Show that

L[δ] = 1.

Problem 2: (4 points)

Solve the integral equation

u(x) = 1

2sin(2x) + Z x

0

u(t)·u(x−t) d t.

Problem 3: (4 points)

Solve the following integro-differentiali equation Z x

0

u0(t)·u(x−t) d t= 24x3, with u(0) = 0 .

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