Q100Section C (Part C)100 of 120

Volterra equation with kernel $(t-x)^2$

Let $u(x)$ be the solution to the Volterra integral equation

$u(x)=x^2+4\int_0^x(t-x)^2u(t)\,dt.$

Then which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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