Let y(x) be the solution of the integral equation (IE) y(x)=e^x+e+1+frac13int0^1y(t),dt, and R(x,t,frac13) be the resolvent kernel associated to IE. Then which of the following statements are true?

Q100Section C (Part C)100 of 120

Integral equations — a Fredholm equation with a constant kernel

Let $y(x)$ be the solution of the integral equation (IE)

$y(x)=e^{x}+e+1+\frac13\int_0^1y(t)\,\mathrm{d}t,$

and $R\left(x,t,\frac13\right)$ be the resolvent kernel associated to IE. 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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