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Beliebt Rechnen >

(dy)/(dx)-2/x y-1/(xy)=0

Lösung

\frac{d y}{d x} - \frac{2}{x} y - \frac{1}{x y} = 0

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} - \frac{2}{x} y - \frac{1}{x y} = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dt)=0.1y,y(0)=600,t=5

\frac{d y}{d t} = 0.1 y, y (0) = 600, t = 5

sin(3x)dx+4ycos^2(3x)dy=0

sin (3 x) d x + 4 y cos^{2} (3 x) d y = 0

(1+x^2)y^'+2xy=-x

(1 + x^{2}) y^{^{'}} + 2 x y = - x

x^{^{'}} = 3 x

(dy}{dx}=\frac{12x^2)/y

\frac{d y}{d x} = \frac{12 x ^{2}}{y}