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Beliebt Rechnen >

(1+ln(x)+y/x)dx=(9-ln(x))dy

Lösung

(1 + ln (x) + \frac{y}{x}) d x = (9 - ln (x)) d y

Lösung

y = \frac{x ln ( x )}{9 - ln ( x )} + \frac{c _{1}}{9 - ln ( x )}

Schritte zur Lösung

(1 + ln (x) + \frac{y}{x}) d x = (9 - ln (x)) d y

Solve linear ODE:

y = \frac{x ln ( x )}{9 - ln ( x )} + \frac{c _{1}}{9 - ln ( x )}

y = \frac{x ln ( x )}{9 - ln ( x )} + \frac{c _{1}}{9 - ln ( x )}

Graph

Beliebte Beispiele

integral of 4x^2e^{-2x}

\int 4 x^{2} e^{- 2 x} d x

(\partial)/(\partial x)(x^{-2}*y/(x^3))

\frac{\partial}{\partial x} (x^{- 2} \cdot \frac{y}{x ^{3}})

y y^{^{'}} + x y^{2} = x y^{4}

integral of sec^8(x)tan(x)

\int sec^{8} (x) tan (x) d x

integral of-9e^{-x}

\int - 9 e^{- x} d x