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Question: derive a function for goursat problem?

Question:derive a function for goursat problem?

ali701 28 Maple
November 04 2008
0

hello.

I have calculated an integral equation (general goursat problem) with an iteration method. I want to know how could I use MAPLE to derive a function for.

I found the first 4 iteration for function f.

the exact problem is Uxy=2.U.Ux .

U(x,y)=2x on y=x^2+x and U(x,y)=3x^2 on y=0.

I want to find the U function.

y=t^2+t

U0=2t-3t^2+3x^2

Un=U0+int(2*Un*(Un)x)

Uxy is the x and y derivitives of U.
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