Putnam 1997 B2

Session B

Let $f$ be a twice-differentiable real-valued function satisfying $f(x)+f''(x)=-xg(x)f'(x),$ where $g(x)\geq 0$ for all real $x$ . Prove that $|f(x)|$ is bounded.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

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