Soluzione simbolica di equazioni differenziali ordinarie

Matematica simbolica > Valutazione simbolica > Soluzione simbolica di equazioni differenziali ordinarie

In Mathcad, è possibile risolvere simbolicamente le equazioni differenziali ordinarie (ODE) utilizzando la parola chiave solve.

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Si può impostare il modificatore come nome y della funzione o come funzione con un argomento y(x).

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Un sistema di equazioni ODE

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È inoltre possibile risolvere un sistema di equazioni ODE ed equazioni algebriche.

Condizioni al limite

• Condizione di Cauchy:

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• Condizione di Neumann per ODE di ordine superiore:

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• Condizione di disuguaglianza:

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ODE con operatore derivata prima

• È possibile utilizzare derivate, derivate parziali e operatori derivata prima per scrivere un'equazione ODE per la valutazione simbolica.

• Utilizzare l'operatore derivata prima senza specificare esplicitamente un argomento. Mathcad genera automaticamente la variabile nel caso riportato di seguito.

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• Se Mathcad non è in grado di rilevare la variabile differenziale, viene visualizzato un errore:

Soluzioni parziali

È possibile ottenere una soluzione parziale per l'equazione ODE utilizzando la parola chiave generated:

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      <symResult>
        <matrix rows="1" cols="2">
          <real>0</real>
          <id xml:space="preserve" labels="VARIABLE">x</id>
        </matrix>
      </symResult>
    </symEval>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

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