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Beliebt Rechnen >

(dy)/(dx)=xy^2,y(-3)=-1/5

Lösung

\frac{d y}{d x} = x y^{2}, y (- 3) = - \frac{1}{5}

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

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

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

(dV)/(dt)=1-0.4*V

\frac{d V}{d t} = 1 - 0.4 \cdot V

y^'=(3t^2y)/(y+1)

y^{^{'}} = \frac{3 t ^{2} y}{y + 1}

(dy)/(dx)y^2-x^3=28

\frac{d y}{d x} y^{2} - x^{3} = 28

derivative of xy^4=5

\frac{d}{d x} (x y^{4}) = 5