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Beliebt Rechnen >

(1+ln(x)+y/x)dx=(8-ln(x))dy

Lösung

(1 + ln (x) + \frac{y}{x}) d x = (8 - ln (x)) d y

Lösung

y = \frac{x ln ( x )}{8 - ln ( x )} + \frac{c _{1}}{8 - ln ( x )}

Schritte zur Lösung

(1 + ln (x) + \frac{y}{x}) d x = (8 - ln (x)) d y

Solve linear ODE:

y = \frac{x ln ( x )}{8 - ln ( x )} + \frac{c _{1}}{8 - ln ( x )}

y = \frac{x ln ( x )}{8 - ln ( x )} + \frac{c _{1}}{8 - ln ( x )}

Graph

Beliebte Beispiele

integral of (e^x)/(1+9e^{2x)}

\int \frac{e ^{x}}{1 + 9 e ^{2 x}} d x

derivative of-262144cos(2x)

\frac{d}{d x} (- 262144 cos (2 x))

limit as x approaches 3 of (x^2)/(x-3)

x \to 3 lim (\frac{x ^{2}}{x - 3})

limit as x approaches 2+of | 4/x |

x \to 2 + lim (\frac{4}{x})

integral of (12)/(1+9x^2)

\int \frac{12}{1 + 9 x ^{2}} d x