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Beliebt Rechnen >

(dy)/(dx)+1/(x+8)y=x^{-2}

Lösung

\frac{d y}{d x} + \frac{1}{x + 8} y = x^{- 2}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} + \frac{1}{x + 8} y = x^{- 2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

e^xydy=(e^{-y}+e^{-2x-y})dx

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

limit as x approaches infinity of 2^2

x \to \infty lim (2^{2})

limit as n approaches 1 of ((-1/5)^n)/n

n \to 1 lim (\frac{( - \frac{1}{5} ) ^{n}}{n})

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

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

integral of 3/(2sqrt(x))

\int \frac{3}{2 x} d x