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Beliebt Rechnen >

(dy)/(dx)=2xy^2+5(y^2)/(sqrt(x))

Lösung

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

Lösung

y = - \frac{1}{x ^{2} + 10 x + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{x ^{2} + 10 x + c _{1}}

y = - \frac{1}{x ^{2} + 10 x + c _{1}}

Graph

Beliebte Beispiele

(dp)/(dt)=p(2p-1)

\frac{d p}{d t} = p (2 p - 1)

sin (x) y^{^{'}} + y = 0

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(4+x^2)(dy)/(dx)+2xy=4x

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

y^'-3/4 y=x^4(y^1)/3

y^{^{'}} - \frac{3}{4} y = x^{4} \frac{y ^{1}}{3}