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Hi All,

Is there any way to solve an integral equation, either analytically or numerically?

Thanks,

Daniel Volinski

Hi All,

y(x) == integrate(exp(x-t)*y(t), t, 0, x)

Can Sage solve integral equations (where the unknown is a function and the equation involves integrals), either analytically or numerically?

For example, can Sage solve a Volterra equation of the second kind?kind?

That would be an equation like:

y(x) == integrate(exp(x-t)*y(t), t, 0, x)

and the solution is expected in the form $y(x) = ?$ where the right hand side is a function of $x$ not involving $y$.

Can Sage solve integral equations equations (where the unknown is a function function and the equation involves integrals), integrals), either analytically or numerically?

For example, can Sage solve a Volterra equation of the second kind?

That would be an equation like:, such as

y(x) == integrate(exp(x-t)*y(t), t, 0, x)

and the The solution is expected in the form $y(x) = ?$ ...$ where the right hand side is a an explicit function of $x$ not involving $y$.