Part BCSIR NET December 2025differentiate-the-volterra-equation-twice-to-reach-a-plain-ode-then-add-not-subtract-to-cancel-e-to-minus-pi

Differentiate the volterra equation twice to reach a plain ode then add not subtract to cancel e to minus pi

Suppose u(x) is the solution of the integral equation $u(x) = 3 + \int_{0}$ ˣ (x−t)u(t) dt. Then which of the following statements is true?

A. $u(\pi) = 2e^\pi$ .
B. $u'(\pi) = e^\pi$ .
C. $u(\pi) + u'(\pi) = 3e^\pi$ .✓ Correct
D. $u(\pi) - u'(\pi) = e^\pi$ .

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward, and why this one tests execution slip.

See pricing

50 are analysed free — try those first.

The trap it tests

Execution slip

The idea was right. The computation was not.

Drill statements like this

Differentiate the volterra equation twice to reach a plain ode then add not subtract to cancel e to minus pi

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