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Beliebt Rechnen >

y^'+sqrt(x-x^2)*y=sqrt(x-x^2)

Lösung

y^{^{'}} + x - x^{2} \cdot y = x - x^{2}

Lösung

y = e^{- \frac{1}{16} (2 a r c s i n (2 x - 1) + s i n (2 a r c s i n (2 x - 1))) + c_{1}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- \frac{1}{16} (2 a r c s i n (2 x - 1) + s i n (2 a r c s i n (2 x - 1))) + c_{1}} + 1

y = e^{- \frac{1}{16} (2 a r c s i n (2 x - 1) + s i n (2 a r c s i n (2 x - 1))) + c_{1}} + 1

Graph

Beliebte Beispiele

(dy)/(dx)=6x^3sqrt(y),y>0

\frac{d y}{d x} = 6 x^{3} y, y > 0

(dv)/(dt)=(\sqrt[3]{v})

\frac{d v}{d t} = (3 v)

(dy)/(dx)=90yx^9

\frac{d y}{d x} = 90 y x^{9}

(dy)/(dt)+ycos(t)=0

\frac{d y}{d t} + y cos (t) = 0

y^{^{'}} = - 1 - y^{2}