(dy}{dx}-\frac{2y)/x =x^{-1}y^{-1}

Lösung

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

y = \frac{c _{1} x ^{4} - 1}{2}, y = - \frac{c _{1} x ^{4} - 1}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1} x ^{4} - 1}{2}, y = - \frac{c _{1} x ^{4} - 1}{2}

y = \frac{c _{1} x ^{4} - 1}{2}, y = - \frac{c _{1} x ^{4} - 1}{2}

\int (\frac{c x}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}}) d x

\frac{d}{d x} (\frac{1}{x ( ln ( x ) ) ^{p (x)}})

\int 8 sin^{2} (t + \frac{π}{12}) d t

x y^{^{'}} = y + 6 x^{2} sin (x), y (π) = 0

x \to - 1 lim (x^{2} - 3 x - 4)