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Beliebt Rechnen >

(dy)/(dx)=y+y/(xln(x)),y(e)=1

Lösung

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}, y (e) = 1

Lösung

y = e^{x - e} ln (x)

Schritte zur Lösung

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}

Solve separable ODE:

y = e^{x - e} ln (x)

y = e^{x - e} ln (x)

Graph

Beliebte Beispiele

(dy)/(dx)=-xy,y(0)=1

\frac{d y}{d x} = - x y, y (0) = 1

y^'+y=u,y(0)=(-1)/2

y^{^{'}} + y = u, y (0) = \frac{- 1}{2}

(dy)/(dx)=(-x)/(e^y)

\frac{d y}{d x} = \frac{- x}{e ^{y}}

(dx)/(dt)=14-0.7x

\frac{d x}{d t} = 14 - 0.7 x

(dy}{dx}=\frac{3sin(x))/y

\frac{d y}{d x} = \frac{3 sin ( x )}{y}