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Beliebt Rechnen >

y^'=(2x+xy^2)/(4y+yx^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dp)/(dt)=p(1-p)

\frac{d p}{d t} = p (1 - p)

(1+x^2)(dy)/(dx)=1+y^2

(1 + x^{2}) \frac{d y}{d x} = 1 + y^{2}

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

(dy)/(dx)=y+y/(xln(x))

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}

(dy)/(dt)+20y=24,y= 6/5-6/5 e^{-20t}

\frac{d y}{d t} + 20 y = 24, y = \frac{6}{5} - \frac{6}{5} e^{- 20 t}