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Beliebt Rechnen >

xy(dy)/(dx)=x^2-y^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

tangent f(x)=sqrt(x+5),\at x=4

t an g e n t f (x) = x + 5, at x = 4

(2x-y)dx+(2y-x)dy=0

(2 x - y) d x + (2 y - x) d y = 0

derivative of (1-x^{-2})

\frac{d}{d x} ((1 - x)^{- 2})

y^{^{'}} = \frac{y}{x} + 1

y^{'''}+2y^{''}-5y^'-6y=0

y^{^{'''}} + 2 y^{^{''}} - 5 y^{^{'}} - 6 y = 0