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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

limit as x approaches 0 of 3+x^2sin(1/x)

x \to 0 lim (3 + x^{2} sin (\frac{1}{x}))

steigung y= 1/(x-4),x=8

s l o p e y = \frac{1}{x - 4}, x = 8

steigung f(x)=(x^2)/(x+8)

s l o p e f (x) = \frac{x ^{2}}{x + 8}

(dy)/(dx)+(5/x)y=-3x-4

\frac{d y}{d x} + (\frac{5}{x}) y = - 3 x - 4

y^{^{'}} + 5 y = 5 - e^{t}