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Beliebt Rechnen >

(dy)/(dx)+xy=xy^2

Lösung

\frac{d y}{d x} + x \cdot y = x \cdot y^{2}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} + x \cdot y = x \cdot y^{2}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'=0.1044*y,y(0)=100000

y^{^{'}} = 0.1044 \cdot y, y (0) = 100000

(dy)/(dx)=(8y)/(9x)

\frac{d y}{d x} = \frac{8 y}{9 x}

y^'=(1+cos(x))y,y(0)=1

y^{^{'}} = (1 + cos (x)) y, y (0) = 1

(dy)/(dx)(1-x^2)+xy=x

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

y^'csc(t)=(-y^{13})/(12)

y^{^{'}} csc (t) = \frac{- y ^{13}}{12}