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Beliebt Rechnen >

(dy)/(dx)=50y-1/10 y^2

Lösung

\frac{d y}{d x} = 50 y - \frac{1}{10} y^{2}

Lösung

y = - \frac{500 e ^{50 x + 50 c_{1}}}{1 - e ^{50 (x + c_{1})}}

Schritte zur Lösung

\frac{d y}{d x} = 50 y - \frac{1}{10} y^{2}

Solve separable ODE:

y = - \frac{500 e ^{50 x + 50 c_{1}}}{1 - e ^{50 (x + c_{1})}}

y = - \frac{500 e ^{50 x + 50 c_{1}}}{1 - e ^{50 (x + c_{1})}}

Graph

Beliebte Beispiele

integral of (1/(5x^{3.3)})

\int (\frac{1}{5 x ^{3.3}}) d x

integral of (12)/((36x^2+1)^2)

\int \frac{12}{( 36 x ^{2} + 1 ) ^{2}} d x

derivative ln(3x^2)

d er i v a t i v e ln (3 x^{2})

tangent h(x)=3e^x-7x,(0,3)

t an g e n t h (x) = 3 e^{x} - 7 x, (0, 3)

derivative of e^{sqrt(tan(3x)})

\frac{d}{d x} (e^{t a n (3 x)})