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Beliebt Rechnen >

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

Lösung

y^{^{'}} = \frac{y}{x} + \frac{y ^{2}}{x ^{2}}

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

- \frac{1}{2} y^{^{'}} + y = 4

derivative 28x(4x^2+9)^{5/2}

d er i v a t i v e 28 x (4 x^{2} + 9)^{\frac{5}{2}}

derivative xlog_{3}(x)

d er i v a t i v e x lo g_{3} (x)

(\partial)/(\partial x)(4ycos(xy))

\frac{\partial}{\partial x} (4 y cos (x y))

derivative xtan(x)

d er i v a t i v e x tan (x)