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Beliebt Rechnen >

(y^3-2x^2y)dx+(2x^3)dy=0

Lösung

(y^{3} - 2 x^{2} y) d x + (2 x^{3}) d y = 0

Lösung

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

Schritte zur Lösung

(y^{3} - 2 x^{2} y) d x + (2 x^{3}) d y = 0

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches-6 of ((4x+3)^{2/3}-9)/(x^2-36)

x \to - 6 lim (\frac{( 4 x + 3 ) ^{\frac{2}{3}} - 9}{x ^{2} - 36})

integral of pi/3

\int \frac{π}{3}

yy^'=xy^2-x-y^2+1

y y^{^{'}} = x y^{2} - x - y^{2} + 1

integral of (11x+20)/(x^2+4x+5)

\int \frac{11 x + 20}{x ^{2} + 4 x + 5} d x

f(x)= x/(4+x^2)

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