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Beliebt Rechnen >

xy^2(dy)/(dx)=x^3+y^3

Lösung

x y^{2} \frac{d y}{d x} = x^{3} + y^{3}

Lösung

y = x 3 3 ln (x) + c_{1}

Schritte zur Lösung

x y^{2} \frac{d y}{d x} = x^{3} + y^{3}

Solve Bernoulli ODE:

y = x 3 3 ln (x) + c_{1}

y = x 3 3 ln (x) + c_{1}

Graph

Beliebte Beispiele

integral of-(2x^3+24x)/(x^4-16)

\int - \frac{2 x ^{3} + 24 x}{x ^{4} - 16} d x

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

derivative y=sqrt(x)

d er i v a t i v e y = x

inverselaplace ((s^2+5))/((s^2+5s+16))

in v erse l a pl a ce \frac{( s ^{2} + 5 )}{( s ^{2} + 5 s + 16 )}

integral of (40-2/(sec(x)))

\int (40 - \frac{2}{sec ( x )}) d x