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https://texercises.com/exercise/lineare-differentialgleichung-2/
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Exercise:
Gib die Lösung der folgen Differentialgleichung an: f^ - alpha m + sigma m dot m

Solution:
Homogene Differentialgleichung Ansatz mt texte^kt: dot m + alpha-sigmam m texte^mt + alpha-sigma texte^mt m -alpha-sigma sigma-alpha Die Lösung der homogenen Differentialgleichung ist also m_htC texte^sigma-alpha t. Für den inhomogenen Teil findet man: dot m_p + alpha-sigmaA f^ A fracf^alpha-sigma m_pt fracf^alpha-sigma Die allgemeine Lösung ist also: mt m_ht+m_pt mt C texte^sigma-alpha t + fracf^alpha-sigma
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Exercise:
Gib die Lösung der folgen Differentialgleichung an: f^ - alpha m + sigma m dot m

Solution:
Homogene Differentialgleichung Ansatz mt texte^kt: dot m + alpha-sigmam m texte^mt + alpha-sigma texte^mt m -alpha-sigma sigma-alpha Die Lösung der homogenen Differentialgleichung ist also m_htC texte^sigma-alpha t. Für den inhomogenen Teil findet man: dot m_p + alpha-sigmaA f^ A fracf^alpha-sigma m_pt fracf^alpha-sigma Die allgemeine Lösung ist also: mt m_ht+m_pt mt C texte^sigma-alpha t + fracf^alpha-sigma
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Attributes & Decorations
Tags
differentialgleichung, mathematik
Content image
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration