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Beliebt Rechnen >

x(dy)/(dx)=x^{-3}-2y

Lösung

x \frac{d y}{d x} = x^{- 3} - 2 y

Lösung

y = - \frac{1}{x ^{3}} + \frac{c _{1}}{x ^{2}}

Schritte zur Lösung

x \frac{d y}{d x} = x^{- 3} - 2 y

Solve linear ODE:

y = - \frac{1}{x ^{3}} + \frac{c _{1}}{x ^{2}}

y = - \frac{1}{x ^{3}} + \frac{c _{1}}{x ^{2}}

Graph

Beliebte Beispiele

integral from 1 to 4 of 3/x

\int_{1}^{4} \frac{3}{x} d x

inverselaplace 3/(2s^2+3s+1)

in v erse l a pl a ce \frac{3}{2 s ^{2} + 3 s + 1}

(dy)/(dx)=sqrt(2y)e^{x+7}

\frac{d y}{d x} = 2 y e^{x + 7}

limit as x approaches 1-of 3

x \to 1 - lim (3)

derivative (x^2)/(x+1)

d er i v a t i v e \frac{x ^{2}}{x + 1}