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Beliebt Rechnen >

(dy)/(dx)= 1/x (y^2+0.8y)

Lösung

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.8 y)

Lösung

y = \frac{0.8 e ^{\frac{4 l n ( x ) + 4 c _{1}}{5}}}{1 - e ^{\frac{4 ( l n ( x ) + c _{1} )}{5}}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.8 y)

Solve separable ODE:

y = \frac{0.8 e ^{\frac{4 l n ( x ) + 4 c _{1}}{5}}}{1 - e ^{\frac{4 ( l n ( x ) + c _{1} )}{5}}}

y = \frac{0.8 e ^{\frac{4 l n ( x ) + 4 c _{1}}{5}}}{1 - e ^{\frac{4 ( l n ( x ) + c _{1} )}{5}}}

Graph

Beliebte Beispiele

integral of (|x|)

\int (∣ x ∣) d x

derivative of 4x^2+3

\frac{d}{d x} (4 x^{2} + 3)

integral of xsqrt(4+x^2)

\int x 4 + x^{2} d x

t an g e n t x + \frac{4}{x}

d/(dy)((y^4)/4+1/(8y^2))

\frac{d}{d y} (\frac{y ^{4}}{4} + \frac{1}{8 y ^{2}})