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Beliebt Rechnen >

y/x*(dy)/(dx)=-4-(y^2)/(x^2)

Lösung

\frac{y}{x} \cdot \frac{d y}{d x} = - 4 - \frac{y ^{2}}{x ^{2}}

Lösung

y = \frac{- 2 x ^{4} + c _{1}}{x}, y = - \frac{- 2 x ^{4} + c _{1}}{x}

Schritte zur Lösung

\frac{y}{x} \cdot \frac{d y}{d x} = - 4 - \frac{y ^{2}}{x ^{2}}

Solve Bernoulli ODE:

y = \frac{- 2 x ^{4} + c _{1}}{x}, y = - \frac{- 2 x ^{4} + c _{1}}{x}

y = \frac{- 2 x ^{4} + c _{1}}{x}, y = - \frac{- 2 x ^{4} + c _{1}}{x}

Graph

Beliebte Beispiele

limit as x approaches 3 of 1/x

x \to 3 lim (\frac{1}{x})

xy^'-y=(x^2)/y e^{y/x}

x y^{^{'}} - y = \frac{x ^{2}}{y} e^{\frac{y}{x}}

tangent y=x^3-2x+2,(3,23)

t an g e n t y = x^{3} - 2 x + 2, (3, 23)

y^{''}+6y^'+25y=0

y^{^{''}} + 6 y^{^{'}} + 25 y = 0

derivative of 1+7sin(x-tan(x))

\frac{d}{d x} (1 + 7 sin (x) - tan (x))