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Beliebt Rechnen >

(dy)/(dx)=(2x)/(-8y-8),y(0)=-8

Lösung

\frac{d y}{d x} = \frac{2 x}{- 8 y - 8}, y (0) = - 8

Lösung

y = - \frac{- x ^{2} + 196 + 2}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 x}{- 8 y - 8}

Solve separable ODE:

y = - \frac{- x ^{2} + 196 + 2}{2}

y = - \frac{- x ^{2} + 196 + 2}{2}

Graph

Beliebte Beispiele

f^{^{'}} (x) = 9 f (x)

(dy)/(dx)y=(2x+5)(x^3-x^8)(x^{-7})

\frac{d y}{d x} y = (2 x + 5) (x^{3} - x^{8}) (x^{- 7})

3y^4-1+12xy^3y^'=0

3 y^{4} - 1 + 12 x y^{3} y^{^{'}} = 0

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

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

y^{^{'}} - y = - 1