(dy)/(dx)x^2y-y^2=8

Lösung

\frac{d y}{d x} x^{2} y - y^{2} = 8

y = e^{- \frac{2}{x} + c_{1}} - 8, y = - e^{- \frac{2}{x} + c_{1}} - 8

Schritte zur Lösung

\frac{d y}{d x} x^{2} y - y^{2} = 8

Solve separable ODE:

y = e^{- \frac{2}{x} + c_{1}} - 8, y = - e^{- \frac{2}{x} + c_{1}} - 8

y = e^{- \frac{2}{x} + c_{1}} - 8, y = - e^{- \frac{2}{x} + c_{1}} - 8

(y ln (x - 2)) y d x = x d y

y^{^{'}} = 6 y^{- 4}, y (0) = 5

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

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

2 x^{^{'}} + 8 x = 0