Solve fredholm integral equation of the second kind
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I have this equation, and am given the degenerate kernel.
I also know the answer but I do not know how to get to it.
The answer is $x^3 + frac{1}{6x^2} + frac{1}{5x}$
g(x) = f(x) + $int_{0}^{1} left({left( xy + x^2 y^2 right) cdot f(y)}right) dy $
I have tried integration by parts but it just gives me a smaller fraction everytime I integrate.
Can this equation be solved to give the answer above?
integration integral-equations
asked Nov 16 at 11:39
p s
11
add a comment |
up vote
-1
down vote
favorite
I have this equation, and am given the degenerate kernel.
I also know the answer but I do not know how to get to it.
The answer is $x^3 + frac{1}{6x^2} + frac{1}{5x}$
g(x) = f(x) + $int_{0}^{1} left({left( xy + x^2 y^2 right) cdot f(y)}right) dy $
I have tried integration by parts but it just gives me a smaller fraction everytime I integrate.
Can this equation be solved to give the answer above?
integration integral-equations
asked Nov 16 at 11:39
p s
11
1
@Jneven To me it seems that the picture from the OP has the second term $x^2y^2$ rather than $x^2+y^2$, so I have edited the post. (But it is eventually up to the asker - the user p s - to edit the question to the proper form. In any case, thanks for your help with editing questions.)
– Martin Sleziak
Nov 16 at 12:21
For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. (Several users have already helped you with editing some formulas in your post - this could also help you get started.)
– Martin Sleziak
Nov 16 at 12:22
This is not equation,and not even Fredholm integral equation ? en.wikipedia.org/wiki/Fredholm_integral_equation
– Mariusz Iwaniuk
Nov 18 at 13:46
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I have this equation, and am given the degenerate kernel.
I also know the answer but I do not know how to get to it.
The answer is $x^3 + frac{1}{6x^2} + frac{1}{5x}$
g(x) = f(x) + $int_{0}^{1} left({left( xy + x^2 y^2 right) cdot f(y)}right) dy $
I have tried integration by parts but it just gives me a smaller fraction everytime I integrate.
Can this equation be solved to give the answer above?
integration integral-equations
asked Nov 16 at 11:39
p s
11
I have this equation, and am given the degenerate kernel.
I also know the answer but I do not know how to get to it.
The answer is $x^3 + frac{1}{6x^2} + frac{1}{5x}$
g(x) = f(x) + $int_{0}^{1} left({left( xy + x^2 y^2 right) cdot f(y)}right) dy $
I have tried integration by parts but it just gives me a smaller fraction everytime I integrate.
Can this equation be solved to give the answer above?
integration integral-equations
integration integral-equations
asked Nov 16 at 11:39
p s
11
asked Nov 16 at 11:39
p s
11
edited Nov 19 at 21:13
asked Nov 16 at 11:39
p s
11
asked Nov 16 at 11:39
p s
11
asked Nov 16 at 11:39
p s
11
11
1
@Jneven To me it seems that the picture from the OP has the second term $x^2y^2$ rather than $x^2+y^2$, so I have edited the post. (But it is eventually up to the asker - the user p s - to edit the question to the proper form. In any case, thanks for your help with editing questions.)
– Martin Sleziak
Nov 16 at 12:21
For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. (Several users have already helped you with editing some formulas in your post - this could also help you get started.)
– Martin Sleziak
Nov 16 at 12:22
This is not equation,and not even Fredholm integral equation ? en.wikipedia.org/wiki/Fredholm_integral_equation
– Mariusz Iwaniuk
Nov 18 at 13:46
add a comment |
1
@Jneven To me it seems that the picture from the OP has the second term $x^2y^2$ rather than $x^2+y^2$, so I have edited the post. (But it is eventually up to the asker - the user p s - to edit the question to the proper form. In any case, thanks for your help with editing questions.)
– Martin Sleziak
Nov 16 at 12:21
For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. (Several users have already helped you with editing some formulas in your post - this could also help you get started.)
– Martin Sleziak
Nov 16 at 12:22
This is not equation,and not even Fredholm integral equation ? en.wikipedia.org/wiki/Fredholm_integral_equation
– Mariusz Iwaniuk
Nov 18 at 13:46
1
1
@Jneven To me it seems that the picture from the OP has the second term $x^2y^2$ rather than $x^2+y^2$, so I have edited the post. (But it is eventually up to the asker - the user p s - to edit the question to the proper form. In any case, thanks for your help with editing questions.)
– Martin Sleziak
Nov 16 at 12:21
@Jneven To me it seems that the picture from the OP has the second term $x^2y^2$ rather than $x^2+y^2$, so I have edited the post. (But it is eventually up to the asker - the user p s - to edit the question to the proper form. In any case, thanks for your help with editing questions.)
– Martin Sleziak
Nov 16 at 12:21
For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. (Several users have already helped you with editing some formulas in your post - this could also help you get started.)
– Martin Sleziak
Nov 16 at 12:22
For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. (Several users have already helped you with editing some formulas in your post - this could also help you get started.)
– Martin Sleziak
Nov 16 at 12:22
This is not equation,and not even Fredholm integral equation ? en.wikipedia.org/wiki/Fredholm_integral_equation
– Mariusz Iwaniuk
Nov 18 at 13:46
This is not equation,and not even Fredholm integral equation ? en.wikipedia.org/wiki/Fredholm_integral_equation
– Mariusz Iwaniuk
Nov 18 at 13:46
add a comment |
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1
@Jneven To me it seems that the picture from the OP has the second term $x^2y^2$ rather than $x^2+y^2$, so I have edited the post. (But it is eventually up to the asker - the user p s - to edit the question to the proper form. In any case, thanks for your help with editing questions.)
– Martin Sleziak
Nov 16 at 12:21
For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. (Several users have already helped you with editing some formulas in your post - this could also help you get started.)
– Martin Sleziak
Nov 16 at 12:22
This is not equation,and not even Fredholm integral equation ? en.wikipedia.org/wiki/Fredholm_integral_equation
– Mariusz Iwaniuk
Nov 18 at 13:46