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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)-3y-ln(3)=0

\frac{d y}{d x} - 3 y - ln (3) = 0

(dy)/(dx)=-4xy+8x

\frac{d y}{d x} = - 4 x y + 8 x

(x ln (x)) y^{^{'}} = y

y^{^{'}} + y = 1, y (0) = 0

y^'+4x(y^2+2y+1)=0

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