Ivan Shishkin, Rye (1878)

Problems/Differential equationUnreviewed

An ODE of arbitrary order

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30
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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For m∈N,m⩾2m \in \mathbb{N}, m \geqslant 2, solve:

dmydxm=x⋅y(x)+c\frac{d^m y}{d x^m}=x \cdot y(x)+c

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