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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y d x = 3 x d y

\frac{d}{d x} ((y) \cdot 10) = - x \cdot y

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

\frac{d y}{d x} = 18 x sec (y)

\frac{d y}{d t} = \frac{t ^{2} y + y}{t + 1}