Abel's identity
equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation
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Abel's identity
Summary
Abel's identity is a theorem[1]. It draws 95 Wikipedia views per month (theorem category, ranking #194 of 1,306).[2]
Key Facts
- Abel's identity is credited with the discovery of Niels Henrik Abel[3].
- Abel's identity's instance of is recorded as theorem[4].
- Niels Henrik Abel is named after Abel's identity[5].
- Abel's identity's time of discovery or invention is recorded as +1829-00-00T00:00:00Z[6].
- Abel's identity's Freebase ID is recorded as /m/091yty[7].
- Abel's identity's defining formula is recorded as \operatorname W(y_{1},y_{2})(x)=C\exp\biggl(-\int _{x_0}^xp(x')\,\mathrm dx'\biggr),\qquad x\in I,\qquad y''+p(x)y'+q(x)y=0[8].
- Abel's identity's studied by is recorded as mathematical analysis[9].
- Abel's identity's MathWorld ID is recorded as AbelsDifferentialEquationIdentity[10].
- Abel's identity's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- Abel's identity's Microsoft Academic ID is recorded as 7870923[12].
- Abel's identity's in defining formula is recorded as \operatorname W(y_1,y_2)[13].
Body
Works and Contributions
Abel's identity is credited with the discovery of Niels Henrik Abel[3].
Why It Matters
Abel's identity draws 95 Wikipedia views per month (theorem category, ranking #194 of 1,306).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[14]