Hi All,
Is there any way to solve an integral equation, either analytically or numerically?
Thanks,
Daniel Volinski
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Hi All,
Is there any way to solve an integral equation, either analytically or numerically?
Thanks,
Daniel Volinski
Hi All,
Is there any way to solve an integral equation,
Thanks,For example, can Sage solve a Volterra equation of the second kind?
Daniel VolinskiThat 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 (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?
References:
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 $y$.
Notice in the example the function $y$ appears in two places, once in the left hand side and the other inside the integral sign.
I am looking for something like what you see in
i.e., a command that would give the solution once I give the equation.