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Beliebt Rechnen >

(dy)/(dx)=(4x+xy^2)/(2y+x^2y)

Lösung

\frac{d y}{d x} = \frac{4 x + x y ^{2}}{2 y + x ^{2} y}

Lösung

y = 2 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4, y = - 2 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4

Schritte zur Lösung

\frac{d y}{d x} = \frac{4 x + x y ^{2}}{2 y + x ^{2} y}

Solve separable ODE:

y = 2 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4, y = - 2 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4

y = 2 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4, y = - 2 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 4

Graph

Beliebte Beispiele

(2x+1)dx+(5-6y)dy=0

(2 x + 1) d x + (5 - 6 y) d y = 0

y^'=12y^{-2},y(0)=3

y^{^{'}} = 12 y^{- 2}, y (0) = 3

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

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

y^'=-4ye^t,y(0)=1

y^{^{'}} = - 4 y e^{t}, y (0) = 1

(3y^2-3)dx+5xydy=0

(3 y^{2} - 3) d x + 5 x y d y = 0