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Beliebt Rechnen >

(dy)/(dx)=yx^3-xy

Lösung

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

Lösung

y = e^{\frac{x ^{4}}{4} - \frac{x ^{2}}{2} + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{4}}{4} - \frac{x ^{2}}{2} + c_{1}}

y = e^{\frac{x ^{4}}{4} - \frac{x ^{2}}{2} + c_{1}}

Graph

Beliebte Beispiele

y^'=\sqrt[3]{y},y(0)=0

y^{^{'}} = 3 y, y (0) = 0

2xy+6x+(x^2-4)(dy)/(dx)=0

2 x y + 6 x + (x^{2} - 4) \frac{d y}{d x} = 0

(dy)/(dx)= x/y ,y(0)=-6

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 6

(dy)/(dx)=10xsec(y)

\frac{d y}{d x} = 10 x sec (y)

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

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