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Beliebt Rechnen >

xln(x)=y(1+sqrt(24+y^2))y^'(x),y(1)=1

Lösung

x ln (x) = y (1 + 24 + y^{2}) y^{^{'}} (x), y (1) = 1

Lösung

y' (x) + y' (x) 24 + y^{2}

Schritte zur Lösung

Finde

y (1 + 24 + y^{2}) y^{'} (x)

gegeben

y (1) = 1

y (1 + 24 + y^{2}) y^{^{'}} (x) = y (1 + 24 + y^{2}) y^{^{'}} (x)

y : 1

24 + y^{2} : 24 + 1^{2}

= 1 \cdot (1 + 24 + y^{2}) y^{^{'}} (x)

Multipliziere aus

1 \cdot (1 + 24 + y^{2}) y^{'} (x) : y^{'} (x) + y^{'} (x) 24 + y^{2}

= y^{'} (x) + y^{'} (x) 24 + y^{2}

Graph

Beliebte Beispiele

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