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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x e ^{\frac{1}{x}}}{e ^{\frac{1}{x}} - e ^{\frac{1}{x}} x + c _{1} x}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{x e ^{\frac{1}{x}}}{e ^{\frac{1}{x}} - e ^{\frac{1}{x}} x + c _{1} x}

y = \frac{x e ^{\frac{1}{x}}}{e ^{\frac{1}{x}} - e ^{\frac{1}{x}} x + c _{1} x}

Graph

Beliebte Beispiele

tangent f(x)=3x^2-3x

t an g e n t f (x) = 3 x^{2} - 3 x

derivative y=(sqrt(x))/(1+x)

d er i v a t i v e y = \frac{x}{1 + x}

steigung (0,-3),(-3,0)

s l o p e (0, - 3), (- 3, 0)

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

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

(\partial}{\partial x}(\frac{(2x))/y)

\frac{\partial}{\partial x} (\frac{( 2 x )}{y})