y^'+(2-x/(x-1))y=0

Lösung

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

y = e^{- x - 1 + c_{1}} x - e^{- x - 1 + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- x - 1 + c_{1}} x - e^{- x - 1 + c_{1}}

y = e^{- x - 1 + c_{1}} x - e^{- x - 1 + c_{1}}

x \to 1 lim (\frac{I n ( x )}{x - 1})

t an g e n t y = 8 e^{x} cos (x), (0, 8)

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

\int \frac{1}{x ^{3}} 1 - \frac{1}{x ^{2}} d x

\frac{d}{d x} (3 x (x + 3))