Part CCSIR NET December 2023volterra-to-ode

Volterra to ode

Let y be the solution to the Volterra integral equation y(x) = eˣ $+ \int_{0}$ ˣ $((1 + x^{2}) / (1 + t^{2})) y (t)$ dt. Which of the following statements are true?

A. $y (1) = (1 + π /4) e$
B. $y (1) = (1 + π /2) e$
C. $y (3) = (1 +$ $3 π /4) e^{3}$
D. $y (3) = (1 +$ $4 π /3) e^{3}$

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Volterra to ode

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