Ivan Shishkin, Rye (1878)

Problems/Other

Une équa-diff d’ordre mm

by mathman·
50
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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ReviewedReviewed by Ancient Tree
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Français
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This problem was submitted to “Differential equations”.

Showing the Français version because no English translation exists yet. Add that translation.

Pour m∈N,m⩾2m\in \N, m\geqslant 2, trouver les fonctions infiniment dérivables réelles yy telles que
dmydxm=x⋅y(x)+c\frac{\mathrm{d}^{m}y}{\mathrm{d}x^{m}}= x\cdot y(x)+ coù c∈Rc\in\R est une constante.

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