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Beliebt Rechnen >

(2x+ye^{y/x})dx-xe^{y/x}dy=0,y(1)=4

Lösung

(2 x + y e^{\frac{y}{x}}) d x - x e^{\frac{y}{x}} d y = 0, y (1) = 4

Lösung

y = ln (2 ln (x) + c_{1}) x

Schritte zur Lösung

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

Solve using substitution:

y = ln (2 ln (x) + c_{1}) x

y = ln (2 ln (x) + c_{1}) x

Graph

Beliebte Beispiele

tangent y=x^2-5x+5

integral of (x^2)/(sqrt(361-x^2))

integral of (4x+2)/(x^2+x+5)

(d^2y)/(dx^2)-by=0

100x-(dy)/(dx)=xy