Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Euler–Cauchy equation | Statement: [Cauchy–Euler equation, hasAlternativeName, Euler–Cauchy equation]

Target entity: Euler–Cauchy equation
Context triple: [Cauchy–Euler equation, hasAlternativeName, Euler–Cauchy equation]

• A. Cauchy–Euler equation chosen
  The Cauchy–Euler equation is a type of linear ordinary differential equation with variable coefficients that often appears in problems with power-law or scale-invariant behavior.
• B. Riccati equation
  A Riccati equation is a type of nonlinear differential or difference equation, often quadratic in the unknown function, that plays a central role in control theory, filtering, and various areas of applied mathematics.
• C. Bernoulli differential equations
  Bernoulli differential equations are a class of first-order nonlinear differential equations that can be transformed into linear form and are fundamental in the study of ordinary differential equations.
• D. Fuchsian differential equation
  A Fuchsian differential equation is a type of linear ordinary differential equation characterized by having only regular singular points, extensively studied in complex analysis and the theory of special functions.
• E. Sturm–Liouville problem
  The Sturm–Liouville problem is a class of second-order linear differential equations with boundary conditions that yield real eigenvalues and orthogonal eigenfunctions forming a basis for function expansions in mathematical physics and engineering.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.