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Beliebt Rechnen >

x^2(dy)/(dx)=xy+3y^2

Lösung

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

Lösung

y = \frac{x}{- 3 ln ( x ) + c _{1}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{x}{- 3 ln ( x ) + c _{1}}

y = \frac{x}{- 3 ln ( x ) + c _{1}}

Graph

Beliebte Beispiele

derivative 50x^2e^{-x}+8

d er i v a t i v e 50 x^{2} e^{- x} + 8

\frac{d}{d u} (\frac{u}{v})

derivative of (xe^x-e^x/(x^2))

\frac{d}{d x} (\frac{x e ^{x} - e ^{x}}{x ^{2}})

limit as x approaches 0 of 3x+1

x \to 0 lim (3 x + 1)

tangent 4/(sqrt(x-7))

t an g e n t \frac{4}{x - 7}