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Beliebt Rechnen >

x(x+1)((dy)/(dx))+xy=1

Lösung

x (x + 1) (\frac{d y}{d x}) + x y = 1

Lösung

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

Schritte zur Lösung

x (x + 1) (\frac{d y}{d x}) + x y = 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(x^2+y^2)dx+6xydy=0

(x^{2} + y^{2}) d x + 6 x y d y = 0

derivative of x+2y

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

(\partial)/(\partial x)(3cos(x+y))

\frac{\partial}{\partial x} (3 cos (x + y))

limit as x approaches-100 of 3x^2

x \to - 100 lim (3 x^{2})

derivative of 2x^2-3x

\frac{d}{d x} (2 x^{2} - 3 x)