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Beliebt Rechnen >

y^'=((x^2y+y^3))/(x^3)

Lösung

y^{^{'}} = \frac{( x ^{2} y + y ^{3} )}{x ^{3}}

Lösung

y = \frac{x}{- 2 ln ( x ) + c _{1}}, y = - \frac{x}{- 2 ln ( x ) + c _{1}}

Schritte zur Lösung

y^{'} (x) = \frac{( x ^{2} y + y ^{3} )}{x ^{3}}

Solve Bernoulli ODE:

y = \frac{x}{- 2 ln ( x ) + c _{1}}, y = - \frac{x}{- 2 ln ( x ) + c _{1}}

y = \frac{x}{- 2 ln ( x ) + c _{1}}, y = - \frac{x}{- 2 ln ( x ) + c _{1}}

Graph

Beliebte Beispiele

integral from 1 to 5 of (ln(x))/(x^3)

\int_{1}^{5} \frac{ln ( x )}{x ^{3}} d x

integral of x+0.5

\int x + 0.5 d x

taylor 1/(1-x),-1

t a y l or \frac{1}{1 - x}, - 1

integral of \sqrt[3]{9x}

\int 3 9 x d x

derivative of ((1+x)/(1-x))

\frac{d}{d x} (\frac{( 1 + x )}{1 - x})