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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

f^{^{'}} (x) = - 6 f (x)

(x^2+9)dy=(2x-10xy)dx

(x^{2} + 9) d y = (2 x - 10 x y) d x

(dy)/(dt)-2ty=t,y(0)=1

\frac{d y}{d t} - 2 t y = t, y (0) = 1

y+5+(x-2)(dy)/(dx)=0

y + 5 + (x - 2) \frac{d y}{d x} = 0

xln(x)dy+yln(y)dx=0

x ln (x) d y + y ln (y) d x = 0