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Beliebt Rechnen >

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

Lösung

(4 x^{2} y^{2} - x^{2} + 4 x y^{2} - x) d x + (2 x y + x + 2 y + 1) d y = 0

Lösung

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

Schritte zur Lösung

(4 x^{2} y^{2} - x^{2} + 4 x y^{2} - x) d x + (2 x y + x + 2 y + 1) d y = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=(3y)/(x^6)

\frac{d y}{d x} = \frac{3 y}{x ^{6}}

x y y^{^{'}} = - (1 + x^{2})

(dy)/(-y+10)=(dx)/(x+1)

\frac{d y}{- y + 10} = \frac{d x}{x + 1}

x y^{^{'}} - y = 2 x^{3} y

(dy)/(dt)=(t+1)/(ty),y(1)=-3

\frac{d y}{d t} = \frac{t + 1}{t y}, y (1) = - 3