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Beliebt Rechnen >

ln(x)(dy)/(dx)+y/x =xln(x)

Lösung

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

Lösung

y = \frac{x ^{2}}{2} - \frac{x ^{2}}{4 ln ( x )} + \frac{c _{1}}{ln ( x )}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{2}}{2} - \frac{x ^{2}}{4 ln ( x )} + \frac{c _{1}}{ln ( x )}

y = \frac{x ^{2}}{2} - \frac{x ^{2}}{4 ln ( x )} + \frac{c _{1}}{ln ( x )}

Graph

Beliebte Beispiele

derivative of (3-5x^5)

\frac{d}{d x} ((3 - 5 x)^{5})

derivative of (x^4/(x-1))

\frac{d}{d x} (\frac{x ^{4}}{x - 1})

fläche x=(12-y^2)/4 ,x=y

a re a x = \frac{12 - y ^{2}}{4}, x = y

y^'x+4yx=8,y(0)=1

y^{^{'}} x + 4 y x = 8, y (0) = 1

integral of 1/((1+sin^2(x)))

\int \frac{1}{( 1 + sin ^{2} ( x ) )} d x