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Beliebt Rechnen >

(5x+ye^{y/x})dx-(xe^{y/x})dy=0,y(1)=3

Lösung

(5 x + y e^{\frac{y}{x}}) d x - (x e^{\frac{y}{x}}) d y = 0, y (1) = 3

Lösung

y = ln (5 ln (x) + c_{1}) x

Schritte zur Lösung

(5 x + y e^{\frac{y}{x}}) d x - (x e^{\frac{y}{x}}) d y = 0

Solve using substitution:

y = ln (5 ln (x) + c_{1}) x

y = ln (5 ln (x) + c_{1}) x

Graph

Beliebte Beispiele

limit as t approaches 0 of (sin(t))/t

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\int \frac{1}{8 + x ^{2}} d x

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\int cos (2 t) + sin (2 t) d t