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Beliebt Rechnen >

1/8 (dy)/(dx)=ysqrt(4x^2-1)

Lösung

\frac{1}{8} \frac{d y}{d x} = y 4 x^{2} - 1

Lösung

y = \frac{e ^{4 x 4 x^{2} - 1 + c_{1}}}{8 x ^{2} + 4 x 4 x ^{2} - 1 - 1}

Schritte zur Lösung

\frac{1}{8} \frac{d y}{d x} = y 4 x^{2} - 1

Solve separable ODE:

y = \frac{e ^{4 x 4 x^{2} - 1 + c_{1}}}{8 x ^{2} + 4 x 4 x ^{2} - 1 - 1}

y = \frac{e ^{4 x 4 x^{2} - 1 + c_{1}}}{8 x ^{2} + 4 x 4 x ^{2} - 1 - 1}

Graph

Beliebte Beispiele

\frac{y ^{^{'}}}{x} = - y

ye^{-y}dy=-e^xx^2dx

y e^{- y} d y = - e^{x} x^{2} d x

(dy)/(dx)=\sqrt[3]{y},y(0)=5

\frac{d y}{d x} = 3 y, y (0) = 5

y^{^{'}} - k y = 180

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

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