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Beliebt Rechnen >

1/((y^2-3y+2))y^'= 1/x

Lösung

\frac{1}{( y ^{2} - 3 y + 2 )} y^{^{'}} = \frac{1}{x}

Lösung

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

Schritte zur Lösung

\frac{1}{( y ^{2} - 3 y + 2 )} y^{'} (x) = \frac{1}{x}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 3 of x-10

x \to 3 lim (x - 10)

limit as x approaches-a of f(x)

x \to - a lim (f (x))

(dy}{dx}+\frac{3y)/x =-1/x

\frac{d y}{d x} + \frac{3 y}{x} = - \frac{1}{x}

integral of cos^4(x)sin(x

\int cos^{4} (x) sin (d) x d x

integral of 1/(x^{3/2)}

\int \frac{1}{x ^{\frac{3}{2}}} d x