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Beliebt Rechnen >

y^'=(y^2+2)/(xy-4y)

Lösung

y^{^{'}} = \frac{y ^{2} + 2}{x y - 4 y}

Lösung

y = e^{2 c_{1}} x^{2} - 8 e^{2 c_{1}} x + 16 e^{2 c_{1}} - 2, y = - e^{2 c_{1}} x^{2} - 8 e^{2 c_{1}} x + 16 e^{2 c_{1}} - 2

Schritte zur Lösung

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

Solve separable ODE:

y = e^{2 c_{1}} x^{2} - 8 e^{2 c_{1}} x + 16 e^{2 c_{1}} - 2, y = - e^{2 c_{1}} x^{2} - 8 e^{2 c_{1}} x + 16 e^{2 c_{1}} - 2

y = e^{2 c_{1}} x^{2} - 8 e^{2 c_{1}} x + 16 e^{2 c_{1}} - 2, y = - e^{2 c_{1}} x^{2} - 8 e^{2 c_{1}} x + 16 e^{2 c_{1}} - 2

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xye^{4y})

\frac{\partial}{\partial x} (x y e^{4 y})

tangent y=x^2+6x-5,\at x=2

t an g e n t y = x^{2} + 6 x - 5, at x = 2

integral of x^9e^{x^{10}}

\int x^{9} e^{x^{10}} d x

(2dy)/(dx)+7y=1

\frac{2 d y}{d x} + 7 y = 1

inverselaplace 1/(s-3)

in v erse l a pl a ce \frac{1}{s - 3}