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Beliebt Rechnen >

x(dy)/(dx)+y/(x+1)=x(x+1)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches-1 of (x^{100})/1

x \to - 1 lim (\frac{x ^{100}}{1})

integral of sin^2((npix)/L)

\int sin^{2} (\frac{nπ x}{L}) d x

derivative of 1-(x+1e^{-x})

\frac{d}{d x} (1 - (x + 1) e^{- x})

integral of (2x^5)/(sqrt(1-6x^6))

\int \frac{2 x ^{5}}{1 - 6 x ^{6}} d x

f(x)=sin(sqrt(x))

f (x) = sin (x)