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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{x ^{3}}{3} - 4 x + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} - 4 x + c_{1}}

y = e^{- \frac{x ^{3}}{3} - 4 x + c_{1}}

Graph

Beliebte Beispiele

e^x*y*(dy)/(dx)=e^{-y}+e^{-2x-y}

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

(dy)/(dx)+4/(x^2-1)y=0

\frac{d y}{d x} + \frac{4}{x ^{2} - 1} y = 0

3(1+x^2)(dy)/(dx)=2yx(y^3-1)

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

\frac{d y}{d t} = \frac{k}{y}

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