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Beliebt Rechnen >

x(dy)/(dx)+y=y^{-3}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

\frac{d x}{d t} = 3 x + 4

derivative of x^2+y^2=0

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

(8+x)y^'=(x+9)(y-8)

(8 + x) y^{^{'}} = (x + 9) (y - 8)

y^2dx-xydy=x^2ydy,y(1)=1

y^{2} d x - x y d y = x^{2} y d y, y (1) = 1

(dy)/(dx)=x(1+y^2),y(0)=0

\frac{d y}{d x} = x (1 + y^{2}), y (0) = 0