Part BCSIR NET June 2024repeated-root-needs-another-log

Repeated root needs another log

Let $φ$ denote the solution to the boundary value problem (BVP) (xy′)′ − 2y′ + y/x = 1 for $1 < x < e^{4}$ , with y(1) = 0 and $y (e^{4}) = 4 e^{4}$ . Then the value of $φ (e)$ is

A.−e/2✓
B.−e/3
C.e/3
D.e

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.

See pricing

50 are analysed free — try those first.

Related counterexample: W(f, g) ≡ 0 implies f and g are linearly dependent

Repeated root needs another log

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