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Beliebt Rechnen >

(dy)/(dx)xy=x^2-x

Lösung

\frac{d y}{d x} x y = x^{2} - x

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} x y = x^{2} - x

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=(5xy)/((ln(y))^6)

\frac{d y}{d x} = \frac{5 x y}{( ln ( y ) ) ^{6}}

2 q^{^{'}} + 6 q = 2

(dy)/(dt)=3-3/10 y

\frac{d y}{d t} = 3 - \frac{3}{10} y

1/(2y)=y^'(x^2)/(y^2-8),y(1)=sqrt(9)

\frac{1}{2 y} = y^{^{'}} \frac{x ^{2}}{y ^{2} - 8}, y (1) = 9

y^'=(2sin(x))/(sin(y))

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