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Beliebt Rechnen >

(dy)/(dx)=y^2-3y+2

Lösung

\frac{d y}{d x} = y^{2} - 3 y + 2

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = y^{2} - 3 y + 2

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(1+t^2)(dy)/(dt)=1+y^2

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

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

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

(dx)/(dt)=30-x/(100)

\frac{d x}{d t} = 30 - \frac{x}{100}

y(dy)/(dx)=(x-e^x)/(e^{y^2)}

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

(dy}{dx}=\frac{20x^4)/y

\frac{d y}{d x} = \frac{20 x ^{4}}{y}