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

Lösung

x^{2} \frac{d y}{d x} + x y - y = 0

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

Schritte zur Lösung

x^{2} \frac{d y}{d x} + x y - y = 0

Solve separable ODE:

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

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

u^{^{'}} = csc (H (x)) cos (\frac{x}{2})

\frac{d y}{d x} = - \frac{3}{2} y + \frac{1}{2} y^{2}

a d a + b d b = 0

y^{^{'}} = 5 y + 2

(x^{2} + 1) d x + \frac{1}{y} d y = 0