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Beliebt Rechnen >

(dy)/(dx)= 1/x (y^2+0.4y)

Lösung

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.4 y)

Lösung

y = \frac{0.4 e ^{\frac{2 l n ( x ) + 2 c _{1}}{5}}}{1 - e ^{\frac{2 ( l n ( x ) + c _{1} )}{5}}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{x} (y^{2} + 0.4 y)

Solve separable ODE:

y = \frac{0.4 e ^{\frac{2 l n ( x ) + 2 c _{1}}{5}}}{1 - e ^{\frac{2 ( l n ( x ) + c _{1} )}{5}}}

y = \frac{0.4 e ^{\frac{2 l n ( x ) + 2 c _{1}}{5}}}{1 - e ^{\frac{2 ( l n ( x ) + c _{1} )}{5}}}

Graph

Beliebte Beispiele

integral of (x^2-4x+7)/((x+1)(x^2-2x+3))

\int \frac{x ^{2} - 4 x + 7}{( x + 1 ) ( x ^{2} - 2 x + 3 )} d x

tangent y=5tan(x)

t an g e n t y = 5 tan (x)

t^2(dy)/(dt)+ty=4

t^{2} \frac{d y}{d t} + t y = 4

integral from 0 to 1 of 3/2 (x^2+y^2)

\int_{0}^{1} \frac{3}{2} (x^{2} + y^{2}) d x

derivative of 7^x(-6x+2/x)

\frac{d}{d x} (7^{x} (- 6 x + \frac{2}{x}))