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Beliebt Rechnen >

y^'=(2x)/(-8y-10)

Lösung

y^{^{'}} = \frac{2 x}{- 8 y - 10}

Lösung

y = \frac{- 5 + - 4 ( x ^{2} - c _{1} ) + 25}{4}, y = - \frac{- 4 ( x ^{2} - c _{1} ) + 25 + 5}{4}

Schritte zur Lösung

y^{'} (x) = \frac{2 x}{- 8 y - 10}

Solve separable ODE:

y = \frac{- 5 + - 4 ( x ^{2} - c _{1} ) + 25}{4}, y = - \frac{- 4 ( x ^{2} - c _{1} ) + 25 + 5}{4}

y = \frac{- 5 + - 4 ( x ^{2} - c _{1} ) + 25}{4}, y = - \frac{- 4 ( x ^{2} - c _{1} ) + 25 + 5}{4}

Graph

Beliebte Beispiele

(dy)/(dx)=160+0.02*y,y(0)=2000

\frac{d y}{d x} = 160 + 0.02 \cdot y, y (0) = 2000

(dy)/(dx)y=cos(tan(7x+3))

\frac{d y}{d x} y = cos (tan (7 x + 3))

x^2+2x-1-4yy^'=0

x^{2} + 2 x - 1 - 4 y y^{^{'}} = 0

(dy)/(dx)=sqrt(e^{-2ay)-1}

\frac{d y}{d x} = e^{- 2 a y} - 1

y^'=ye^t,y(0)=1

y^{^{'}} = y e^{t}, y (0) = 1