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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

integral of cot^2(x)csc(x)

\int cot^{2} (x) csc (x) d x

(\partial)/(\partial x)(-e^{2y}cos(2x)*2)

\frac{\partial}{\partial x} (- e^{2 y} cos (2 x) \cdot 2)

fläche y=x^4-x^2,y^2=x^2

a re a y = x^{4} - x^{2}, y^{2} = x^{2}

y^{''}-2y^'+53/4 y=0

y^{^{''}} - 2 y^{^{'}} + \frac{53}{4} y = 0

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

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