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Beliebt Rechnen >

(dy)/(dx)=5y^2-y/x

Lösung

\frac{d y}{d x} = 5 y^{2} - \frac{y}{x}

Lösung

y = \frac{1}{x ( - 5 ln ( x ) + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = 5 y^{2} - \frac{y}{x}

Solve Bernoulli ODE:

y = \frac{1}{x ( - 5 ln ( x ) + c _{1} )}

y = \frac{1}{x ( - 5 ln ( x ) + c _{1} )}

Graph

Beliebte Beispiele

laplacetransform 6(t)e^{-2t}

l a pl a ce t r an s f or m 6 (t) e^{- 2 t}

(\partial)/(\partial x)((1+2xy^2)^3)

\frac{\partial}{\partial x} ((1 + 2 x y^{2})^{3})

derivative y= t/((t-5)^2)

d er i v a t i v e y = \frac{t}{( t - 5 ) ^{2}}

integral of 5cos^3(6x)

\int 5 cos^{3} (6 x) d x

(\partial)/(\partial x)(3x^3+x^2y-3y^3)

\frac{\partial}{\partial x} (3 x^{3} + x^{2} y - 3 y^{3})